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Finding the Fourth Proportional to 102.32, 141.04 and 93.95

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Solution

The fourth proportional to 102.32, 141.04 and 93.95 is: 129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.32 : 141.04 = 93.95 : x
  2. Step 2: Convert to fraction form
    102.32/141.04 = 93.95/x
  3. Step 3: Cross multiply
    102.32x = 141.04 × 93.95
  4. Step 4: Simplify right side
    102.32x = 13,250.71
  5. Step 5: Solve for x
    x = 13,250.71/102.32
  6. Step 6: Final answer
    x = 129.50

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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.