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Finding the Fourth Proportional to 147.73, 221.77 and 113.92

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Solution

The fourth proportional to 147.73, 221.77 and 113.92 is: 171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.73 : 221.77 = 113.92 : x
  2. Step 2: Convert to fraction form
    147.73/221.77 = 113.92/x
  3. Step 3: Cross multiply
    147.73x = 221.77 × 113.92
  4. Step 4: Simplify right side
    147.73x = 25,264.04
  5. Step 5: Solve for x
    x = 25,264.04/147.73
  6. Step 6: Final answer
    x = 171.01

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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.