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Finding the Fourth Proportional to 109.73, 151.70 and 108.69

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Solution

The fourth proportional to 109.73, 151.70 and 108.69 is: 150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.73 : 151.70 = 108.69 : x
  2. Step 2: Convert to fraction form
    109.73/151.70 = 108.69/x
  3. Step 3: Cross multiply
    109.73x = 151.70 × 108.69
  4. Step 4: Simplify right side
    109.73x = 16,488.32
  5. Step 5: Solve for x
    x = 16,488.32/109.73
  6. Step 6: Final answer
    x = 150.26

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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.