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Finding the Fourth Proportional to 79.39, 109.52 and 49.87

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Solution

The fourth proportional to 79.39, 109.52 and 49.87 is: 68.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.39 : 109.52 = 49.87 : x
  2. Step 2: Convert to fraction form
    79.39/109.52 = 49.87/x
  3. Step 3: Cross multiply
    79.39x = 109.52 × 49.87
  4. Step 4: Simplify right side
    79.39x = 5,461.50
  5. Step 5: Solve for x
    x = 5,461.50/79.39
  6. Step 6: Final answer
    x = 68.80

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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.