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Finding the Fourth Proportional to 93.53, 129.02 and 64.37

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Solution

The fourth proportional to 93.53, 129.02 and 64.37 is: 88.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.53 : 129.02 = 64.37 : x
  2. Step 2: Convert to fraction form
    93.53/129.02 = 64.37/x
  3. Step 3: Cross multiply
    93.53x = 129.02 × 64.37
  4. Step 4: Simplify right side
    93.53x = 8,304.05
  5. Step 5: Solve for x
    x = 8,304.05/93.53
  6. Step 6: Final answer
    x = 88.79

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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.