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Finding the Fourth Proportional to 75.38, 112.35 and 74.61

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Solution

The fourth proportional to 75.38, 112.35 and 74.61 is: 111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 112.35 = 74.61 : x
  2. Step 2: Convert to fraction form
    75.38/112.35 = 74.61/x
  3. Step 3: Cross multiply
    75.38x = 112.35 × 74.61
  4. Step 4: Simplify right side
    75.38x = 8,382.43
  5. Step 5: Solve for x
    x = 8,382.43/75.38
  6. Step 6: Final answer
    x = 111.21

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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.