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Finding the Fourth Proportional to 59.71, 82.84 and 59.17

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Solution

The fourth proportional to 59.71, 82.84 and 59.17 is: 82.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.71 : 82.84 = 59.17 : x
  2. Step 2: Convert to fraction form
    59.71/82.84 = 59.17/x
  3. Step 3: Cross multiply
    59.71x = 82.84 × 59.17
  4. Step 4: Simplify right side
    59.71x = 4,901.79
  5. Step 5: Solve for x
    x = 4,901.79/59.71
  6. Step 6: Final answer
    x = 82.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.