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Finding the Fourth Proportional to 69.39, 95.75 and 47.57

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Solution

The fourth proportional to 69.39, 95.75 and 47.57 is: 65.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.39 : 95.75 = 47.57 : x
  2. Step 2: Convert to fraction form
    69.39/95.75 = 47.57/x
  3. Step 3: Cross multiply
    69.39x = 95.75 × 47.57
  4. Step 4: Simplify right side
    69.39x = 4,554.11
  5. Step 5: Solve for x
    x = 4,554.11/69.39
  6. Step 6: Final answer
    x = 65.63

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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.