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Finding the Fourth Proportional to 79.65, 109.96 and 53.44

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Solution

The fourth proportional to 79.65, 109.96 and 53.44 is: 73.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.65 : 109.96 = 53.44 : x
  2. Step 2: Convert to fraction form
    79.65/109.96 = 53.44/x
  3. Step 3: Cross multiply
    79.65x = 109.96 × 53.44
  4. Step 4: Simplify right side
    79.65x = 5,876.47
  5. Step 5: Solve for x
    x = 5,876.47/79.65
  6. Step 6: Final answer
    x = 73.78

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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.