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Finding the Fourth Proportional to 147.31, 221 and 51.13

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Solution

The fourth proportional to 147.31, 221 and 51.13 is: 76.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.31 : 221 = 51.13 : x
  2. Step 2: Convert to fraction form
    147.31/221 = 51.13/x
  3. Step 3: Cross multiply
    147.31x = 221 × 51.13
  4. Step 4: Simplify right side
    147.31x = 11,299.73
  5. Step 5: Solve for x
    x = 11,299.73/147.31
  6. Step 6: Final answer
    x = 76.71

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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.