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Finding the Fourth Proportional to 124.78, 187.08 and 66.18

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Solution

The fourth proportional to 124.78, 187.08 and 66.18 is: 99.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.78 : 187.08 = 66.18 : x
  2. Step 2: Convert to fraction form
    124.78/187.08 = 66.18/x
  3. Step 3: Cross multiply
    124.78x = 187.08 × 66.18
  4. Step 4: Simplify right side
    124.78x = 12,380.95
  5. Step 5: Solve for x
    x = 12,380.95/124.78
  6. Step 6: Final answer
    x = 99.22

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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.