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Finding the Fourth Proportional to 110.11, 152.03 and 66.52

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Solution

The fourth proportional to 110.11, 152.03 and 66.52 is: 91.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.11 : 152.03 = 66.52 : x
  2. Step 2: Convert to fraction form
    110.11/152.03 = 66.52/x
  3. Step 3: Cross multiply
    110.11x = 152.03 × 66.52
  4. Step 4: Simplify right side
    110.11x = 10,113.02
  5. Step 5: Solve for x
    x = 10,113.02/110.11
  6. Step 6: Final answer
    x = 91.85

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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.