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Finding the Fourth Proportional to 79.04, 109.20 and 74.24

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Solution

The fourth proportional to 79.04, 109.20 and 74.24 is: 102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.04 : 109.20 = 74.24 : x
  2. Step 2: Convert to fraction form
    79.04/109.20 = 74.24/x
  3. Step 3: Cross multiply
    79.04x = 109.20 × 74.24
  4. Step 4: Simplify right side
    79.04x = 8,107.01
  5. Step 5: Solve for x
    x = 8,107.01/79.04
  6. Step 6: Final answer
    x = 102.57

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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.