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Finding the Fourth Proportional to 61.32, 91.97 and 22.80

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Solution

The fourth proportional to 61.32, 91.97 and 22.80 is: 34.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.32 : 91.97 = 22.80 : x
  2. Step 2: Convert to fraction form
    61.32/91.97 = 22.80/x
  3. Step 3: Cross multiply
    61.32x = 91.97 × 22.80
  4. Step 4: Simplify right side
    61.32x = 2,096.92
  5. Step 5: Solve for x
    x = 2,096.92/61.32
  6. Step 6: Final answer
    x = 34.20

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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.