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Finding the Fourth Proportional to 93.68, 129.13 and 64.52

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Solution

The fourth proportional to 93.68, 129.13 and 64.52 is: 88.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.68 : 129.13 = 64.52 : x
  2. Step 2: Convert to fraction form
    93.68/129.13 = 64.52/x
  3. Step 3: Cross multiply
    93.68x = 129.13 × 64.52
  4. Step 4: Simplify right side
    93.68x = 8,330.66
  5. Step 5: Solve for x
    x = 8,330.66/93.68
  6. Step 6: Final answer
    x = 88.93

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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.