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Finding the Fourth Proportional to 69.15, 95.42 and 38.06

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Solution

The fourth proportional to 69.15, 95.42 and 38.06 is: 52.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.15 : 95.42 = 38.06 : x
  2. Step 2: Convert to fraction form
    69.15/95.42 = 38.06/x
  3. Step 3: Cross multiply
    69.15x = 95.42 × 38.06
  4. Step 4: Simplify right side
    69.15x = 3,631.88
  5. Step 5: Solve for x
    x = 3,631.88/69.15
  6. Step 6: Final answer
    x = 52.52

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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.