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Finding the Fourth Proportional to 124.92, 187.65 and 106.74

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Solution

The fourth proportional to 124.92, 187.65 and 106.74 is: 160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.92 : 187.65 = 106.74 : x
  2. Step 2: Convert to fraction form
    124.92/187.65 = 106.74/x
  3. Step 3: Cross multiply
    124.92x = 187.65 × 106.74
  4. Step 4: Simplify right side
    124.92x = 20,029.76
  5. Step 5: Solve for x
    x = 20,029.76/124.92
  6. Step 6: Final answer
    x = 160.34

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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.