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Finding the Fourth Proportional to 146.77, 219.87 and 125.24

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Solution

The fourth proportional to 146.77, 219.87 and 125.24 is: 187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.77 : 219.87 = 125.24 : x
  2. Step 2: Convert to fraction form
    146.77/219.87 = 125.24/x
  3. Step 3: Cross multiply
    146.77x = 219.87 × 125.24
  4. Step 4: Simplify right side
    146.77x = 27,535.42
  5. Step 5: Solve for x
    x = 27,535.42/146.77
  6. Step 6: Final answer
    x = 187.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.