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Finding the Fourth Proportional to 113.26, 156.30 and 82.16

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Solution

The fourth proportional to 113.26, 156.30 and 82.16 is: 113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.26 : 156.30 = 82.16 : x
  2. Step 2: Convert to fraction form
    113.26/156.30 = 82.16/x
  3. Step 3: Cross multiply
    113.26x = 156.30 × 82.16
  4. Step 4: Simplify right side
    113.26x = 12,841.61
  5. Step 5: Solve for x
    x = 12,841.61/113.26
  6. Step 6: Final answer
    x = 113.38

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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.