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Finding the Fourth Proportional to 110.80, 166.14 and 45.76

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Solution

The fourth proportional to 110.80, 166.14 and 45.76 is: 68.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.80 : 166.14 = 45.76 : x
  2. Step 2: Convert to fraction form
    110.80/166.14 = 45.76/x
  3. Step 3: Cross multiply
    110.80x = 166.14 × 45.76
  4. Step 4: Simplify right side
    110.80x = 7,602.57
  5. Step 5: Solve for x
    x = 7,602.57/110.80
  6. Step 6: Final answer
    x = 68.62

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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.