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Finding the Fourth Proportional to 111.65, 166.85 and 89.74

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Solution

The fourth proportional to 111.65, 166.85 and 89.74 is: 134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.65 : 166.85 = 89.74 : x
  2. Step 2: Convert to fraction form
    111.65/166.85 = 89.74/x
  3. Step 3: Cross multiply
    111.65x = 166.85 × 89.74
  4. Step 4: Simplify right side
    111.65x = 14,972.59
  5. Step 5: Solve for x
    x = 14,972.59/111.65
  6. Step 6: Final answer
    x = 134.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.