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Finding the Fourth Proportional to 79.22, 108.76 and 71.04

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Solution

The fourth proportional to 79.22, 108.76 and 71.04 is: 97.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.22 : 108.76 = 71.04 : x
  2. Step 2: Convert to fraction form
    79.22/108.76 = 71.04/x
  3. Step 3: Cross multiply
    79.22x = 108.76 × 71.04
  4. Step 4: Simplify right side
    79.22x = 7,726.31
  5. Step 5: Solve for x
    x = 7,726.31/79.22
  6. Step 6: Final answer
    x = 97.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.