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Finding the Fourth Proportional to 69.13, 95.40 and 40.04

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Solution

The fourth proportional to 69.13, 95.40 and 40.04 is: 55.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.13 : 95.40 = 40.04 : x
  2. Step 2: Convert to fraction form
    69.13/95.40 = 40.04/x
  3. Step 3: Cross multiply
    69.13x = 95.40 × 40.04
  4. Step 4: Simplify right side
    69.13x = 3,819.14
  5. Step 5: Solve for x
    x = 3,819.14/69.13
  6. Step 6: Final answer
    x = 55.25

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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.