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Finding the Fourth Proportional to 69.37, 95.82 and 52.96

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Solution

The fourth proportional to 69.37, 95.82 and 52.96 is: 73.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.37 : 95.82 = 52.96 : x
  2. Step 2: Convert to fraction form
    69.37/95.82 = 52.96/x
  3. Step 3: Cross multiply
    69.37x = 95.82 × 52.96
  4. Step 4: Simplify right side
    69.37x = 5,074.63
  5. Step 5: Solve for x
    x = 5,074.63/69.37
  6. Step 6: Final answer
    x = 73.15

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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.