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Finding the Fourth Proportional to 112.52, 168.55 and 82.25

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Solution

The fourth proportional to 112.52, 168.55 and 82.25 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.52 : 168.55 = 82.25 : x
  2. Step 2: Convert to fraction form
    112.52/168.55 = 82.25/x
  3. Step 3: Cross multiply
    112.52x = 168.55 × 82.25
  4. Step 4: Simplify right side
    112.52x = 13,862.82
  5. Step 5: Solve for x
    x = 13,862.82/112.52
  6. Step 6: Final answer
    x = 123.20

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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.