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Finding the Fourth Proportional to 59.10, 82.01 and 57.42

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Solution

The fourth proportional to 59.10, 82.01 and 57.42 is: 79.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.10 : 82.01 = 57.42 : x
  2. Step 2: Convert to fraction form
    59.10/82.01 = 57.42/x
  3. Step 3: Cross multiply
    59.10x = 82.01 × 57.42
  4. Step 4: Simplify right side
    59.10x = 4,708.73
  5. Step 5: Solve for x
    x = 4,708.73/59.10
  6. Step 6: Final answer
    x = 79.67

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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.