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Finding the Fourth Proportional to 79.26, 109.30 and 74.13

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Solution

The fourth proportional to 79.26, 109.30 and 74.13 is: 102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.26 : 109.30 = 74.13 : x
  2. Step 2: Convert to fraction form
    79.26/109.30 = 74.13/x
  3. Step 3: Cross multiply
    79.26x = 109.30 × 74.13
  4. Step 4: Simplify right side
    79.26x = 8,102.41
  5. Step 5: Solve for x
    x = 8,102.41/79.26
  6. Step 6: Final answer
    x = 102.23

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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.