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Finding the Fourth Proportional to 147.75, 221.94 and 124.97

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Solution

The fourth proportional to 147.75, 221.94 and 124.97 is: 187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.75 : 221.94 = 124.97 : x
  2. Step 2: Convert to fraction form
    147.75/221.94 = 124.97/x
  3. Step 3: Cross multiply
    147.75x = 221.94 × 124.97
  4. Step 4: Simplify right side
    147.75x = 27,734.42
  5. Step 5: Solve for x
    x = 27,734.42/147.75
  6. Step 6: Final answer
    x = 187.72

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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.