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Finding the Fourth Proportional to 69.80, 96.77 and 66.16

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Solution

The fourth proportional to 69.80, 96.77 and 66.16 is: 91.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.80 : 96.77 = 66.16 : x
  2. Step 2: Convert to fraction form
    69.80/96.77 = 66.16/x
  3. Step 3: Cross multiply
    69.80x = 96.77 × 66.16
  4. Step 4: Simplify right side
    69.80x = 6,402.30
  5. Step 5: Solve for x
    x = 6,402.30/69.80
  6. Step 6: Final answer
    x = 91.72

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.