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Finding the Fourth Proportional to 79.74, 109.96 and 52.11

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Solution

The fourth proportional to 79.74, 109.96 and 52.11 is: 71.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.74 : 109.96 = 52.11 : x
  2. Step 2: Convert to fraction form
    79.74/109.96 = 52.11/x
  3. Step 3: Cross multiply
    79.74x = 109.96 × 52.11
  4. Step 4: Simplify right side
    79.74x = 5,730.02
  5. Step 5: Solve for x
    x = 5,730.02/79.74
  6. Step 6: Final answer
    x = 71.86

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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.