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Finding the Fourth Proportional to 103.59, 144.10 and 101.61

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Solution

The fourth proportional to 103.59, 144.10 and 101.61 is: 141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.59 : 144.10 = 101.61 : x
  2. Step 2: Convert to fraction form
    103.59/144.10 = 101.61/x
  3. Step 3: Cross multiply
    103.59x = 144.10 × 101.61
  4. Step 4: Simplify right side
    103.59x = 14,641.75
  5. Step 5: Solve for x
    x = 14,641.75/103.59
  6. Step 6: Final answer
    x = 141.34

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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.