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Finding the Fourth Proportional to 131.52, 182.42 and 126.66

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Solution

The fourth proportional to 131.52, 182.42 and 126.66 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.52 : 182.42 = 126.66 : x
  2. Step 2: Convert to fraction form
    131.52/182.42 = 126.66/x
  3. Step 3: Cross multiply
    131.52x = 182.42 × 126.66
  4. Step 4: Simplify right side
    131.52x = 23,105.32
  5. Step 5: Solve for x
    x = 23,105.32/131.52
  6. Step 6: Final answer
    x = 175.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.