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Finding the Fourth Proportional to 144.62, 216.24 and 125.55

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Solution

The fourth proportional to 144.62, 216.24 and 125.55 is: 187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.62 : 216.24 = 125.55 : x
  2. Step 2: Convert to fraction form
    144.62/216.24 = 125.55/x
  3. Step 3: Cross multiply
    144.62x = 216.24 × 125.55
  4. Step 4: Simplify right side
    144.62x = 27,148.46
  5. Step 5: Solve for x
    x = 27,148.46/144.62
  6. Step 6: Final answer
    x = 187.72

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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.