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Finding the Fourth Proportional to 67.86, 101.52 and 56.31

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Solution

The fourth proportional to 67.86, 101.52 and 56.31 is: 84.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.86 : 101.52 = 56.31 : x
  2. Step 2: Convert to fraction form
    67.86/101.52 = 56.31/x
  3. Step 3: Cross multiply
    67.86x = 101.52 × 56.31
  4. Step 4: Simplify right side
    67.86x = 5,716.59
  5. Step 5: Solve for x
    x = 5,716.59/67.86
  6. Step 6: Final answer
    x = 84.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.