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Finding the Fourth Proportional to 42.85, 64.23 and 22.56

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Solution

The fourth proportional to 42.85, 64.23 and 22.56 is: 33.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.85 : 64.23 = 22.56 : x
  2. Step 2: Convert to fraction form
    42.85/64.23 = 22.56/x
  3. Step 3: Cross multiply
    42.85x = 64.23 × 22.56
  4. Step 4: Simplify right side
    42.85x = 1,449.03
  5. Step 5: Solve for x
    x = 1,449.03/42.85
  6. Step 6: Final answer
    x = 33.82

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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.