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Finding the Fourth Proportional to 59.23, 81.75 and 44.71

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Solution

The fourth proportional to 59.23, 81.75 and 44.71 is: 61.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.23 : 81.75 = 44.71 : x
  2. Step 2: Convert to fraction form
    59.23/81.75 = 44.71/x
  3. Step 3: Cross multiply
    59.23x = 81.75 × 44.71
  4. Step 4: Simplify right side
    59.23x = 3,655.04
  5. Step 5: Solve for x
    x = 3,655.04/59.23
  6. Step 6: Final answer
    x = 61.71

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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.