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Finding the Fourth Proportional to 110.85, 166.24 and 42.35

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Solution

The fourth proportional to 110.85, 166.24 and 42.35 is: 63.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.85 : 166.24 = 42.35 : x
  2. Step 2: Convert to fraction form
    110.85/166.24 = 42.35/x
  3. Step 3: Cross multiply
    110.85x = 166.24 × 42.35
  4. Step 4: Simplify right side
    110.85x = 7,040.26
  5. Step 5: Solve for x
    x = 7,040.26/110.85
  6. Step 6: Final answer
    x = 63.51

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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.