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Finding the Fourth Proportional to 79.53, 109.49 and 74.97

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Solution

The fourth proportional to 79.53, 109.49 and 74.97 is: 103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.53 : 109.49 = 74.97 : x
  2. Step 2: Convert to fraction form
    79.53/109.49 = 74.97/x
  3. Step 3: Cross multiply
    79.53x = 109.49 × 74.97
  4. Step 4: Simplify right side
    79.53x = 8,208.93
  5. Step 5: Solve for x
    x = 8,208.93/79.53
  6. Step 6: Final answer
    x = 103.22

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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.