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Finding the Fourth Proportional to 124.56, 187.02 and 111.78

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Solution

The fourth proportional to 124.56, 187.02 and 111.78 is: 167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.56 : 187.02 = 111.78 : x
  2. Step 2: Convert to fraction form
    124.56/187.02 = 111.78/x
  3. Step 3: Cross multiply
    124.56x = 187.02 × 111.78
  4. Step 4: Simplify right side
    124.56x = 20,905.10
  5. Step 5: Solve for x
    x = 20,905.10/124.56
  6. Step 6: Final answer
    x = 167.83

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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.