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Finding the Fourth Proportional to 66.25, 99.31 and 22.90

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Solution

The fourth proportional to 66.25, 99.31 and 22.90 is: 34.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.25 : 99.31 = 22.90 : x
  2. Step 2: Convert to fraction form
    66.25/99.31 = 22.90/x
  3. Step 3: Cross multiply
    66.25x = 99.31 × 22.90
  4. Step 4: Simplify right side
    66.25x = 2,274.12
  5. Step 5: Solve for x
    x = 2,274.12/66.25
  6. Step 6: Final answer
    x = 34.33

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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.