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Finding the Fourth Proportional to 82.26, 113.45 and 59.10

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Solution

The fourth proportional to 82.26, 113.45 and 59.10 is: 81.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.26 : 113.45 = 59.10 : x
  2. Step 2: Convert to fraction form
    82.26/113.45 = 59.10/x
  3. Step 3: Cross multiply
    82.26x = 113.45 × 59.10
  4. Step 4: Simplify right side
    82.26x = 6,704.17
  5. Step 5: Solve for x
    x = 6,704.17/82.26
  6. Step 6: Final answer
    x = 81.50

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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.