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Finding the Fourth Proportional to 45.45, 67.82 and 39.98

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Solution

The fourth proportional to 45.45, 67.82 and 39.98 is: 59.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.45 : 67.82 = 39.98 : x
  2. Step 2: Convert to fraction form
    45.45/67.82 = 39.98/x
  3. Step 3: Cross multiply
    45.45x = 67.82 × 39.98
  4. Step 4: Simplify right side
    45.45x = 2,711.75
  5. Step 5: Solve for x
    x = 2,711.75/45.45
  6. Step 6: Final answer
    x = 59.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.