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Finding the Fourth Proportional to 67.87, 101.77 and 56.33

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Solution

The fourth proportional to 67.87, 101.77 and 56.33 is: 84.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.87 : 101.77 = 56.33 : x
  2. Step 2: Convert to fraction form
    67.87/101.77 = 56.33/x
  3. Step 3: Cross multiply
    67.87x = 101.77 × 56.33
  4. Step 4: Simplify right side
    67.87x = 5,732.70
  5. Step 5: Solve for x
    x = 5,732.70/67.87
  6. Step 6: Final answer
    x = 84.47

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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.