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Finding the Fourth Proportional to 69.32, 95.60 and 47.46

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Solution

The fourth proportional to 69.32, 95.60 and 47.46 is: 65.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.32 : 95.60 = 47.46 : x
  2. Step 2: Convert to fraction form
    69.32/95.60 = 47.46/x
  3. Step 3: Cross multiply
    69.32x = 95.60 × 47.46
  4. Step 4: Simplify right side
    69.32x = 4,537.18
  5. Step 5: Solve for x
    x = 4,537.18/69.32
  6. Step 6: Final answer
    x = 65.45

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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.