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Finding the Fourth Proportional to 103.76, 142.25 and 101.04

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Solution

The fourth proportional to 103.76, 142.25 and 101.04 is: 138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.76 : 142.25 = 101.04 : x
  2. Step 2: Convert to fraction form
    103.76/142.25 = 101.04/x
  3. Step 3: Cross multiply
    103.76x = 142.25 × 101.04
  4. Step 4: Simplify right side
    103.76x = 14,372.94
  5. Step 5: Solve for x
    x = 14,372.94/103.76
  6. Step 6: Final answer
    x = 138.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.