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Finding the Fourth Proportional to 109.97, 151.61 and 78.83

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Solution

The fourth proportional to 109.97, 151.61 and 78.83 is: 108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.97 : 151.61 = 78.83 : x
  2. Step 2: Convert to fraction form
    109.97/151.61 = 78.83/x
  3. Step 3: Cross multiply
    109.97x = 151.61 × 78.83
  4. Step 4: Simplify right side
    109.97x = 11,951.02
  5. Step 5: Solve for x
    x = 11,951.02/109.97
  6. Step 6: Final answer
    x = 108.68

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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.