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Finding the Fourth Proportional to 105.32, 145.13 and 81.97

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Solution

The fourth proportional to 105.32, 145.13 and 81.97 is: 112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.32 : 145.13 = 81.97 : x
  2. Step 2: Convert to fraction form
    105.32/145.13 = 81.97/x
  3. Step 3: Cross multiply
    105.32x = 145.13 × 81.97
  4. Step 4: Simplify right side
    105.32x = 11,895.53
  5. Step 5: Solve for x
    x = 11,895.53/105.32
  6. Step 6: Final answer
    x = 112.95

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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.