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Finding the Fourth Proportional to 66.37, 99.48 and 25.78

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Solution

The fourth proportional to 66.37, 99.48 and 25.78 is: 38.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.37 : 99.48 = 25.78 : x
  2. Step 2: Convert to fraction form
    66.37/99.48 = 25.78/x
  3. Step 3: Cross multiply
    66.37x = 99.48 × 25.78
  4. Step 4: Simplify right side
    66.37x = 2,564.62
  5. Step 5: Solve for x
    x = 2,564.62/66.37
  6. Step 6: Final answer
    x = 38.64

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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.