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Finding the Fourth Proportional to 42.75, 64.44 and 38.34

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Solution

The fourth proportional to 42.75, 64.44 and 38.34 is: 57.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 64.44 = 38.34 : x
  2. Step 2: Convert to fraction form
    42.75/64.44 = 38.34/x
  3. Step 3: Cross multiply
    42.75x = 64.44 × 38.34
  4. Step 4: Simplify right side
    42.75x = 2,470.63
  5. Step 5: Solve for x
    x = 2,470.63/42.75
  6. Step 6: Final answer
    x = 57.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.