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Finding the Fourth Proportional to 75.18, 112.24 and 64.92

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Solution

The fourth proportional to 75.18, 112.24 and 64.92 is: 96.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.18 : 112.24 = 64.92 : x
  2. Step 2: Convert to fraction form
    75.18/112.24 = 64.92/x
  3. Step 3: Cross multiply
    75.18x = 112.24 × 64.92
  4. Step 4: Simplify right side
    75.18x = 7,286.62
  5. Step 5: Solve for x
    x = 7,286.62/75.18
  6. Step 6: Final answer
    x = 96.92

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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.