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Finding the Fourth Proportional to 59.68, 82.24 and 49.83

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Solution

The fourth proportional to 59.68, 82.24 and 49.83 is: 68.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.68 : 82.24 = 49.83 : x
  2. Step 2: Convert to fraction form
    59.68/82.24 = 49.83/x
  3. Step 3: Cross multiply
    59.68x = 82.24 × 49.83
  4. Step 4: Simplify right side
    59.68x = 4,098.02
  5. Step 5: Solve for x
    x = 4,098.02/59.68
  6. Step 6: Final answer
    x = 68.67

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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.