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Finding the Fourth Proportional to 113.52, 156.67 and 69.29

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Solution

The fourth proportional to 113.52, 156.67 and 69.29 is: 95.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.52 : 156.67 = 69.29 : x
  2. Step 2: Convert to fraction form
    113.52/156.67 = 69.29/x
  3. Step 3: Cross multiply
    113.52x = 156.67 × 69.29
  4. Step 4: Simplify right side
    113.52x = 10,855.30
  5. Step 5: Solve for x
    x = 10,855.30/113.52
  6. Step 6: Final answer
    x = 95.63

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