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Finding the Fourth Proportional to 73.52, 109.67 and 64.88

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Solution

The fourth proportional to 73.52, 109.67 and 64.88 is: 96.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.52 : 109.67 = 64.88 : x
  2. Step 2: Convert to fraction form
    73.52/109.67 = 64.88/x
  3. Step 3: Cross multiply
    73.52x = 109.67 × 64.88
  4. Step 4: Simplify right side
    73.52x = 7,115.39
  5. Step 5: Solve for x
    x = 7,115.39/73.52
  6. Step 6: Final answer
    x = 96.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.