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Finding the Fourth Proportional to 71.25, 97.68 and 69.95

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Solution

The fourth proportional to 71.25, 97.68 and 69.95 is: 95.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.25 : 97.68 = 69.95 : x
  2. Step 2: Convert to fraction form
    71.25/97.68 = 69.95/x
  3. Step 3: Cross multiply
    71.25x = 97.68 × 69.95
  4. Step 4: Simplify right side
    71.25x = 6,832.69
  5. Step 5: Solve for x
    x = 6,832.69/71.25
  6. Step 6: Final answer
    x = 95.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.