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Finding the Fourth Proportional to 103.70, 144.04 and 102.04

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Solution

The fourth proportional to 103.70, 144.04 and 102.04 is: 141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.70 : 144.04 = 102.04 : x
  2. Step 2: Convert to fraction form
    103.70/144.04 = 102.04/x
  3. Step 3: Cross multiply
    103.70x = 144.04 × 102.04
  4. Step 4: Simplify right side
    103.70x = 14,697.77
  5. Step 5: Solve for x
    x = 14,697.77/103.70
  6. Step 6: Final answer
    x = 141.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.