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Finding the Fourth Proportional to 93.53, 129.17 and 65.95

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Solution

The fourth proportional to 93.53, 129.17 and 65.95 is: 91.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.53 : 129.17 = 65.95 : x
  2. Step 2: Convert to fraction form
    93.53/129.17 = 65.95/x
  3. Step 3: Cross multiply
    93.53x = 129.17 × 65.95
  4. Step 4: Simplify right side
    93.53x = 8,517.79
  5. Step 5: Solve for x
    x = 8,517.79/93.53
  6. Step 6: Final answer
    x = 91.07

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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.