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Finding the Fourth Proportional to 59.70, 82.13 and 49.10

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Solution

The fourth proportional to 59.70, 82.13 and 49.10 is: 67.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.70 : 82.13 = 49.10 : x
  2. Step 2: Convert to fraction form
    59.70/82.13 = 49.10/x
  3. Step 3: Cross multiply
    59.70x = 82.13 × 49.10
  4. Step 4: Simplify right side
    59.70x = 4,031.93
  5. Step 5: Solve for x
    x = 4,031.93/59.70
  6. Step 6: Final answer
    x = 67.54

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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.