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Finding the Fourth Proportional to 59.32, 82.41 and 58.79

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Solution

The fourth proportional to 59.32, 82.41 and 58.79 is: 81.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.32 : 82.41 = 58.79 : x
  2. Step 2: Convert to fraction form
    59.32/82.41 = 58.79/x
  3. Step 3: Cross multiply
    59.32x = 82.41 × 58.79
  4. Step 4: Simplify right side
    59.32x = 4,844.88
  5. Step 5: Solve for x
    x = 4,844.88/59.32
  6. Step 6: Final answer
    x = 81.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.