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Finding the Fourth Proportional to 102.27, 141.13 and 69.46

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Solution

The fourth proportional to 102.27, 141.13 and 69.46 is: 95.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.27 : 141.13 = 69.46 : x
  2. Step 2: Convert to fraction form
    102.27/141.13 = 69.46/x
  3. Step 3: Cross multiply
    102.27x = 141.13 × 69.46
  4. Step 4: Simplify right side
    102.27x = 9,802.89
  5. Step 5: Solve for x
    x = 9,802.89/102.27
  6. Step 6: Final answer
    x = 95.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.