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Finding the Fourth Proportional to 81.95, 122.84 and 52.98

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Solution

The fourth proportional to 81.95, 122.84 and 52.98 is: 79.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.95 : 122.84 = 52.98 : x
  2. Step 2: Convert to fraction form
    81.95/122.84 = 52.98/x
  3. Step 3: Cross multiply
    81.95x = 122.84 × 52.98
  4. Step 4: Simplify right side
    81.95x = 6,508.06
  5. Step 5: Solve for x
    x = 6,508.06/81.95
  6. Step 6: Final answer
    x = 79.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.