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Finding the Fourth Proportional to 113.31, 156.47 and 82.26

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Solution

The fourth proportional to 113.31, 156.47 and 82.26 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.31 : 156.47 = 82.26 : x
  2. Step 2: Convert to fraction form
    113.31/156.47 = 82.26/x
  3. Step 3: Cross multiply
    113.31x = 156.47 × 82.26
  4. Step 4: Simplify right side
    113.31x = 12,870.81
  5. Step 5: Solve for x
    x = 12,870.81/113.31
  6. Step 6: Final answer
    x = 113.59

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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.