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Finding the Fourth Proportional to 113.32, 156.09 and 82.15

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Solution

The fourth proportional to 113.32, 156.09 and 82.15 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.32 : 156.09 = 82.15 : x
  2. Step 2: Convert to fraction form
    113.32/156.09 = 82.15/x
  3. Step 3: Cross multiply
    113.32x = 156.09 × 82.15
  4. Step 4: Simplify right side
    113.32x = 12,822.71
  5. Step 5: Solve for x
    x = 12,822.71/113.32
  6. Step 6: Final answer
    x = 113.16

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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.