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Finding the Fourth Proportional to 166.52, 249.58 and 75.13

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Solution

The fourth proportional to 166.52, 249.58 and 75.13 is: 112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 249.58 = 75.13 : x
  2. Step 2: Convert to fraction form
    166.52/249.58 = 75.13/x
  3. Step 3: Cross multiply
    166.52x = 249.58 × 75.13
  4. Step 4: Simplify right side
    166.52x = 18,750.42
  5. Step 5: Solve for x
    x = 18,750.42/166.52
  6. Step 6: Final answer
    x = 112.60

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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.