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Finding the Fourth Proportional to 42.86, 64 and 36.78

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Solution

The fourth proportional to 42.86, 64 and 36.78 is: 54.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.86 : 64 = 36.78 : x
  2. Step 2: Convert to fraction form
    42.86/64 = 36.78/x
  3. Step 3: Cross multiply
    42.86x = 64 × 36.78
  4. Step 4: Simplify right side
    42.86x = 2,353.92
  5. Step 5: Solve for x
    x = 2,353.92/42.86
  6. Step 6: Final answer
    x = 54.92

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