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Finding the Fourth Proportional to 59.32, 81.97 and 49.60

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Solution

The fourth proportional to 59.32, 81.97 and 49.60 is: 68.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.32 : 81.97 = 49.60 : x
  2. Step 2: Convert to fraction form
    59.32/81.97 = 49.60/x
  3. Step 3: Cross multiply
    59.32x = 81.97 × 49.60
  4. Step 4: Simplify right side
    59.32x = 4,065.71
  5. Step 5: Solve for x
    x = 4,065.71/59.32
  6. Step 6: Final answer
    x = 68.54

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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.