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Finding the Fourth Proportional to 67.87, 101.72 and 35.32

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Solution

The fourth proportional to 67.87, 101.72 and 35.32 is: 52.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.87 : 101.72 = 35.32 : x
  2. Step 2: Convert to fraction form
    67.87/101.72 = 35.32/x
  3. Step 3: Cross multiply
    67.87x = 101.72 × 35.32
  4. Step 4: Simplify right side
    67.87x = 3,592.24
  5. Step 5: Solve for x
    x = 3,592.24/67.87
  6. Step 6: Final answer
    x = 52.93

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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.