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Finding the Fourth Proportional to 135.25, 202.80 and 124.85

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Solution

The fourth proportional to 135.25, 202.80 and 124.85 is: 187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.25 : 202.80 = 124.85 : x
  2. Step 2: Convert to fraction form
    135.25/202.80 = 124.85/x
  3. Step 3: Cross multiply
    135.25x = 202.80 × 124.85
  4. Step 4: Simplify right side
    135.25x = 25,319.58
  5. Step 5: Solve for x
    x = 25,319.58/135.25
  6. Step 6: Final answer
    x = 187.21

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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.