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Finding the Fourth Proportional to 110.06, 151.87 and 66.40

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Solution

The fourth proportional to 110.06, 151.87 and 66.40 is: 91.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.06 : 151.87 = 66.40 : x
  2. Step 2: Convert to fraction form
    110.06/151.87 = 66.40/x
  3. Step 3: Cross multiply
    110.06x = 151.87 × 66.40
  4. Step 4: Simplify right side
    110.06x = 10,084.17
  5. Step 5: Solve for x
    x = 10,084.17/110.06
  6. Step 6: Final answer
    x = 91.62

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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.