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Finding the Fourth Proportional to 57.07, 85.59 and 22.82

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Solution

The fourth proportional to 57.07, 85.59 and 22.82 is: 34.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.07 : 85.59 = 22.82 : x
  2. Step 2: Convert to fraction form
    57.07/85.59 = 22.82/x
  3. Step 3: Cross multiply
    57.07x = 85.59 × 22.82
  4. Step 4: Simplify right side
    57.07x = 1,952.74
  5. Step 5: Solve for x
    x = 1,952.74/57.07
  6. Step 6: Final answer
    x = 34.22

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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.