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Finding the Fourth Proportional to 113.12, 156.08 and 82

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Solution

The fourth proportional to 113.12, 156.08 and 82 is: 113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.12 : 156.08 = 82 : x
  2. Step 2: Convert to fraction form
    113.12/156.08 = 82/x
  3. Step 3: Cross multiply
    113.12x = 156.08 × 82
  4. Step 4: Simplify right side
    113.12x = 12,798.56
  5. Step 5: Solve for x
    x = 12,798.56/113.12
  6. Step 6: Final answer
    x = 113.14

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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.