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Finding the Fourth Proportional to 110.09, 151.85 and 66.41

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Solution

The fourth proportional to 110.09, 151.85 and 66.41 is: 91.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.09 : 151.85 = 66.41 : x
  2. Step 2: Convert to fraction form
    110.09/151.85 = 66.41/x
  3. Step 3: Cross multiply
    110.09x = 151.85 × 66.41
  4. Step 4: Simplify right side
    110.09x = 10,084.03
  5. Step 5: Solve for x
    x = 10,084.03/110.09
  6. Step 6: Final answer
    x = 91.60

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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.