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Finding the Fourth Proportional to 111.05, 153.35 and 81.71

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Solution

The fourth proportional to 111.05, 153.35 and 81.71 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.05 : 153.35 = 81.71 : x
  2. Step 2: Convert to fraction form
    111.05/153.35 = 81.71/x
  3. Step 3: Cross multiply
    111.05x = 153.35 × 81.71
  4. Step 4: Simplify right side
    111.05x = 12,529.82
  5. Step 5: Solve for x
    x = 12,529.82/111.05
  6. Step 6: Final answer
    x = 112.83

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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.