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Finding the Fourth Proportional to 124.10, 185.85 and 78.39

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Solution

The fourth proportional to 124.10, 185.85 and 78.39 is: 117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.10 : 185.85 = 78.39 : x
  2. Step 2: Convert to fraction form
    124.10/185.85 = 78.39/x
  3. Step 3: Cross multiply
    124.10x = 185.85 × 78.39
  4. Step 4: Simplify right side
    124.10x = 14,568.78
  5. Step 5: Solve for x
    x = 14,568.78/124.10
  6. Step 6: Final answer
    x = 117.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.