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Finding the Fourth Proportional to 110.50, 152.46 and 66.82

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Solution

The fourth proportional to 110.50, 152.46 and 66.82 is: 92.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 152.46 = 66.82 : x
  2. Step 2: Convert to fraction form
    110.50/152.46 = 66.82/x
  3. Step 3: Cross multiply
    110.50x = 152.46 × 66.82
  4. Step 4: Simplify right side
    110.50x = 10,187.38
  5. Step 5: Solve for x
    x = 10,187.38/110.50
  6. Step 6: Final answer
    x = 92.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.