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Finding the Fourth Proportional to 59.40, 81.93 and 39.71

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Solution

The fourth proportional to 59.40, 81.93 and 39.71 is: 54.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.40 : 81.93 = 39.71 : x
  2. Step 2: Convert to fraction form
    59.40/81.93 = 39.71/x
  3. Step 3: Cross multiply
    59.40x = 81.93 × 39.71
  4. Step 4: Simplify right side
    59.40x = 3,253.44
  5. Step 5: Solve for x
    x = 3,253.44/59.40
  6. Step 6: Final answer
    x = 54.77

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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.