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Finding the Fourth Proportional to 42.86, 64.01 and 38.54

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Solution

The fourth proportional to 42.86, 64.01 and 38.54 is: 57.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.86 : 64.01 = 38.54 : x
  2. Step 2: Convert to fraction form
    42.86/64.01 = 38.54/x
  3. Step 3: Cross multiply
    42.86x = 64.01 × 38.54
  4. Step 4: Simplify right side
    42.86x = 2,466.95
  5. Step 5: Solve for x
    x = 2,466.95/42.86
  6. Step 6: Final answer
    x = 57.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.