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Finding the Fourth Proportional to 111.36, 166.85 and 42.80

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Solution

The fourth proportional to 111.36, 166.85 and 42.80 is: 64.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.36 : 166.85 = 42.80 : x
  2. Step 2: Convert to fraction form
    111.36/166.85 = 42.80/x
  3. Step 3: Cross multiply
    111.36x = 166.85 × 42.80
  4. Step 4: Simplify right side
    111.36x = 7,140.87
  5. Step 5: Solve for x
    x = 7,140.87/111.36
  6. Step 6: Final answer
    x = 64.13

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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.