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Finding the Fourth Proportional to 75.46, 112.91 and 52.68

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Solution

The fourth proportional to 75.46, 112.91 and 52.68 is: 78.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.46 : 112.91 = 52.68 : x
  2. Step 2: Convert to fraction form
    75.46/112.91 = 52.68/x
  3. Step 3: Cross multiply
    75.46x = 112.91 × 52.68
  4. Step 4: Simplify right side
    75.46x = 5,948.10
  5. Step 5: Solve for x
    x = 5,948.10/75.46
  6. Step 6: Final answer
    x = 78.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.