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Finding the Fourth Proportional to 113.57, 156.77 and 69.29

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Solution

The fourth proportional to 113.57, 156.77 and 69.29 is: 95.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.57 : 156.77 = 69.29 : x
  2. Step 2: Convert to fraction form
    113.57/156.77 = 69.29/x
  3. Step 3: Cross multiply
    113.57x = 156.77 × 69.29
  4. Step 4: Simplify right side
    113.57x = 10,863.01
  5. Step 5: Solve for x
    x = 10,863.01/113.57
  6. Step 6: Final answer
    x = 95.65

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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.