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Finding the Fourth Proportional to 111.12, 166.43 and 101.55

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Solution

The fourth proportional to 111.12, 166.43 and 101.55 is: 152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.12 : 166.43 = 101.55 : x
  2. Step 2: Convert to fraction form
    111.12/166.43 = 101.55/x
  3. Step 3: Cross multiply
    111.12x = 166.43 × 101.55
  4. Step 4: Simplify right side
    111.12x = 16,900.46
  5. Step 5: Solve for x
    x = 16,900.46/111.12
  6. Step 6: Final answer
    x = 152.09

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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.