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Finding the Fourth Proportional to 113.29, 156.29 and 76.47

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Solution

The fourth proportional to 113.29, 156.29 and 76.47 is: 105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.29 : 156.29 = 76.47 : x
  2. Step 2: Convert to fraction form
    113.29/156.29 = 76.47/x
  3. Step 3: Cross multiply
    113.29x = 156.29 × 76.47
  4. Step 4: Simplify right side
    113.29x = 11,951.50
  5. Step 5: Solve for x
    x = 11,951.50/113.29
  6. Step 6: Final answer
    x = 105.49

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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.