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Finding the Fourth Proportional to 111.01, 166.56 and 50.11

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Solution

The fourth proportional to 111.01, 166.56 and 50.11 is: 75.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.01 : 166.56 = 50.11 : x
  2. Step 2: Convert to fraction form
    111.01/166.56 = 50.11/x
  3. Step 3: Cross multiply
    111.01x = 166.56 × 50.11
  4. Step 4: Simplify right side
    111.01x = 8,345.61
  5. Step 5: Solve for x
    x = 8,345.61/111.01
  6. Step 6: Final answer
    x = 75.18

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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.