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Finding the Fourth Proportional to 124.76, 187.20 and 83.66

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Solution

The fourth proportional to 124.76, 187.20 and 83.66 is: 125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.76 : 187.20 = 83.66 : x
  2. Step 2: Convert to fraction form
    124.76/187.20 = 83.66/x
  3. Step 3: Cross multiply
    124.76x = 187.20 × 83.66
  4. Step 4: Simplify right side
    124.76x = 15,660.22
  5. Step 5: Solve for x
    x = 15,660.22/124.76
  6. Step 6: Final answer
    x = 125.52

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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.