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Finding the Fourth Proportional to 113.29, 156.27 and 71.76

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Solution

The fourth proportional to 113.29, 156.27 and 71.76 is: 98.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.29 : 156.27 = 71.76 : x
  2. Step 2: Convert to fraction form
    113.29/156.27 = 71.76/x
  3. Step 3: Cross multiply
    113.29x = 156.27 × 71.76
  4. Step 4: Simplify right side
    113.29x = 11,213.94
  5. Step 5: Solve for x
    x = 11,213.94/113.29
  6. Step 6: Final answer
    x = 98.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.