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Finding the Fourth Proportional to 66.12, 99.19 and 25.55

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Solution

The fourth proportional to 66.12, 99.19 and 25.55 is: 38.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.12 : 99.19 = 25.55 : x
  2. Step 2: Convert to fraction form
    66.12/99.19 = 25.55/x
  3. Step 3: Cross multiply
    66.12x = 99.19 × 25.55
  4. Step 4: Simplify right side
    66.12x = 2,534.42
  5. Step 5: Solve for x
    x = 2,534.42/66.12
  6. Step 6: Final answer
    x = 38.33

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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.