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Finding the Fourth Proportional to 124.18, 185.39 and 112.84

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Solution

The fourth proportional to 124.18, 185.39 and 112.84 is: 168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.18 : 185.39 = 112.84 : x
  2. Step 2: Convert to fraction form
    124.18/185.39 = 112.84/x
  3. Step 3: Cross multiply
    124.18x = 185.39 × 112.84
  4. Step 4: Simplify right side
    124.18x = 20,919.41
  5. Step 5: Solve for x
    x = 20,919.41/124.18
  6. Step 6: Final answer
    x = 168.46

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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.