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Finding the Fourth Proportional to 124.52, 185.71 and 112.28

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Solution

The fourth proportional to 124.52, 185.71 and 112.28 is: 167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.52 : 185.71 = 112.28 : x
  2. Step 2: Convert to fraction form
    124.52/185.71 = 112.28/x
  3. Step 3: Cross multiply
    124.52x = 185.71 × 112.28
  4. Step 4: Simplify right side
    124.52x = 20,851.52
  5. Step 5: Solve for x
    x = 20,851.52/124.52
  6. Step 6: Final answer
    x = 167.46

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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.