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Finding the Fourth Proportional to 136.68, 204.20 and 112.38

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Solution

The fourth proportional to 136.68, 204.20 and 112.38 is: 167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.68 : 204.20 = 112.38 : x
  2. Step 2: Convert to fraction form
    136.68/204.20 = 112.38/x
  3. Step 3: Cross multiply
    136.68x = 204.20 × 112.38
  4. Step 4: Simplify right side
    136.68x = 22,948.00
  5. Step 5: Solve for x
    x = 22,948.00/136.68
  6. Step 6: Final answer
    x = 167.90

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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.