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Finding the Fourth Proportional to 59.29, 81.80 and 34.71

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Solution

The fourth proportional to 59.29, 81.80 and 34.71 is: 47.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.29 : 81.80 = 34.71 : x
  2. Step 2: Convert to fraction form
    59.29/81.80 = 34.71/x
  3. Step 3: Cross multiply
    59.29x = 81.80 × 34.71
  4. Step 4: Simplify right side
    59.29x = 2,839.28
  5. Step 5: Solve for x
    x = 2,839.28/59.29
  6. Step 6: Final answer
    x = 47.89

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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.