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Finding the Fourth Proportional to 79.60, 109.64 and 66.64

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Solution

The fourth proportional to 79.60, 109.64 and 66.64 is: 91.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.60 : 109.64 = 66.64 : x
  2. Step 2: Convert to fraction form
    79.60/109.64 = 66.64/x
  3. Step 3: Cross multiply
    79.60x = 109.64 × 66.64
  4. Step 4: Simplify right side
    79.60x = 7,306.41
  5. Step 5: Solve for x
    x = 7,306.41/79.60
  6. Step 6: Final answer
    x = 91.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.