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Finding the Fourth Proportional to 69.04, 95.12 and 47.20

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Solution

The fourth proportional to 69.04, 95.12 and 47.20 is: 65.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.04 : 95.12 = 47.20 : x
  2. Step 2: Convert to fraction form
    69.04/95.12 = 47.20/x
  3. Step 3: Cross multiply
    69.04x = 95.12 × 47.20
  4. Step 4: Simplify right side
    69.04x = 4,489.66
  5. Step 5: Solve for x
    x = 4,489.66/69.04
  6. Step 6: Final answer
    x = 65.03

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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.