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Finding the Fourth Proportional to 110.71, 166.89 and 95.40

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Solution

The fourth proportional to 110.71, 166.89 and 95.40 is: 143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.71 : 166.89 = 95.40 : x
  2. Step 2: Convert to fraction form
    110.71/166.89 = 95.40/x
  3. Step 3: Cross multiply
    110.71x = 166.89 × 95.40
  4. Step 4: Simplify right side
    110.71x = 15,921.67
  5. Step 5: Solve for x
    x = 15,921.67/110.71
  6. Step 6: Final answer
    x = 143.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.