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Finding the Fourth Proportional to 65.90, 98.86 and 22.57

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Solution

The fourth proportional to 65.90, 98.86 and 22.57 is: 33.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.90 : 98.86 = 22.57 : x
  2. Step 2: Convert to fraction form
    65.90/98.86 = 22.57/x
  3. Step 3: Cross multiply
    65.90x = 98.86 × 22.57
  4. Step 4: Simplify right side
    65.90x = 2,231.27
  5. Step 5: Solve for x
    x = 2,231.27/65.90
  6. Step 6: Final answer
    x = 33.86

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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.