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Finding the Fourth Proportional to 134.92, 202.52 and 123.31

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Solution

The fourth proportional to 134.92, 202.52 and 123.31 is: 185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.92 : 202.52 = 123.31 : x
  2. Step 2: Convert to fraction form
    134.92/202.52 = 123.31/x
  3. Step 3: Cross multiply
    134.92x = 202.52 × 123.31
  4. Step 4: Simplify right side
    134.92x = 24,972.74
  5. Step 5: Solve for x
    x = 24,972.74/134.92
  6. Step 6: Final answer
    x = 185.09

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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.