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Finding the Fourth Proportional to 111.17, 166.71 and 77.15

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Solution

The fourth proportional to 111.17, 166.71 and 77.15 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.17 : 166.71 = 77.15 : x
  2. Step 2: Convert to fraction form
    111.17/166.71 = 77.15/x
  3. Step 3: Cross multiply
    111.17x = 166.71 × 77.15
  4. Step 4: Simplify right side
    111.17x = 12,860.84
  5. Step 5: Solve for x
    x = 12,860.84/111.17
  6. Step 6: Final answer
    x = 115.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.