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Finding the Fourth Proportional to 124.10, 185.25 and 105.87

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Solution

The fourth proportional to 124.10, 185.25 and 105.87 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.10 : 185.25 = 105.87 : x
  2. Step 2: Convert to fraction form
    124.10/185.25 = 105.87/x
  3. Step 3: Cross multiply
    124.10x = 185.25 × 105.87
  4. Step 4: Simplify right side
    124.10x = 19,612.42
  5. Step 5: Solve for x
    x = 19,612.42/124.10
  6. Step 6: Final answer
    x = 158.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.