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Finding the Fourth Proportional to 113.27, 156.30 and 69.02

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Solution

The fourth proportional to 113.27, 156.30 and 69.02 is: 95.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.27 : 156.30 = 69.02 : x
  2. Step 2: Convert to fraction form
    113.27/156.30 = 69.02/x
  3. Step 3: Cross multiply
    113.27x = 156.30 × 69.02
  4. Step 4: Simplify right side
    113.27x = 10,787.83
  5. Step 5: Solve for x
    x = 10,787.83/113.27
  6. Step 6: Final answer
    x = 95.24

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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.