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Finding the Fourth Proportional to 111.12, 166.28 and 95.90

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Solution

The fourth proportional to 111.12, 166.28 and 95.90 is: 143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.12 : 166.28 = 95.90 : x
  2. Step 2: Convert to fraction form
    111.12/166.28 = 95.90/x
  3. Step 3: Cross multiply
    111.12x = 166.28 × 95.90
  4. Step 4: Simplify right side
    111.12x = 15,946.25
  5. Step 5: Solve for x
    x = 15,946.25/111.12
  6. Step 6: Final answer
    x = 143.50

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Why These Related Problems?

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