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Finding the Fourth Proportional to 69.25, 95.46 and 61.02

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Solution

The fourth proportional to 69.25, 95.46 and 61.02 is: 84.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.25 : 95.46 = 61.02 : x
  2. Step 2: Convert to fraction form
    69.25/95.46 = 61.02/x
  3. Step 3: Cross multiply
    69.25x = 95.46 × 61.02
  4. Step 4: Simplify right side
    69.25x = 5,824.49
  5. Step 5: Solve for x
    x = 5,824.49/69.25
  6. Step 6: Final answer
    x = 84.11

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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.