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Finding the Fourth Proportional to 79.10, 109.13 and 49.62

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Solution

The fourth proportional to 79.10, 109.13 and 49.62 is: 68.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.10 : 109.13 = 49.62 : x
  2. Step 2: Convert to fraction form
    79.10/109.13 = 49.62/x
  3. Step 3: Cross multiply
    79.10x = 109.13 × 49.62
  4. Step 4: Simplify right side
    79.10x = 5,414.86
  5. Step 5: Solve for x
    x = 5,414.86/79.10
  6. Step 6: Final answer
    x = 68.46

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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.