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Finding the Fourth Proportional to 59.67, 82.38 and 41.30

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Solution

The fourth proportional to 59.67, 82.38 and 41.30 is: 57.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.67 : 82.38 = 41.30 : x
  2. Step 2: Convert to fraction form
    59.67/82.38 = 41.30/x
  3. Step 3: Cross multiply
    59.67x = 82.38 × 41.30
  4. Step 4: Simplify right side
    59.67x = 3,402.29
  5. Step 5: Solve for x
    x = 3,402.29/59.67
  6. Step 6: Final answer
    x = 57.02

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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.