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Finding the Fourth Proportional to 73.38, 101.07 and 64.61

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Solution

The fourth proportional to 73.38, 101.07 and 64.61 is: 88.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.38 : 101.07 = 64.61 : x
  2. Step 2: Convert to fraction form
    73.38/101.07 = 64.61/x
  3. Step 3: Cross multiply
    73.38x = 101.07 × 64.61
  4. Step 4: Simplify right side
    73.38x = 6,530.13
  5. Step 5: Solve for x
    x = 6,530.13/73.38
  6. Step 6: Final answer
    x = 88.99

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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.