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Finding the Fourth Proportional to 73.92, 101.60 and 64.64

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Solution

The fourth proportional to 73.92, 101.60 and 64.64 is: 88.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.92 : 101.60 = 64.64 : x
  2. Step 2: Convert to fraction form
    73.92/101.60 = 64.64/x
  3. Step 3: Cross multiply
    73.92x = 101.60 × 64.64
  4. Step 4: Simplify right side
    73.92x = 6,567.42
  5. Step 5: Solve for x
    x = 6,567.42/73.92
  6. Step 6: Final answer
    x = 88.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.