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Finding the Fourth Proportional to 135.54, 202.97 and 124.13

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Solution

The fourth proportional to 135.54, 202.97 and 124.13 is: 185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.54 : 202.97 = 124.13 : x
  2. Step 2: Convert to fraction form
    135.54/202.97 = 124.13/x
  3. Step 3: Cross multiply
    135.54x = 202.97 × 124.13
  4. Step 4: Simplify right side
    135.54x = 25,195.48
  5. Step 5: Solve for x
    x = 25,195.48/135.54
  6. Step 6: Final answer
    x = 185.89

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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.