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Finding the Fourth Proportional to 67.64, 101.49 and 35.57

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Solution

The fourth proportional to 67.64, 101.49 and 35.57 is: 53.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 101.49 = 35.57 : x
  2. Step 2: Convert to fraction form
    67.64/101.49 = 35.57/x
  3. Step 3: Cross multiply
    67.64x = 101.49 × 35.57
  4. Step 4: Simplify right side
    67.64x = 3,610.12
  5. Step 5: Solve for x
    x = 3,610.12/67.64
  6. Step 6: Final answer
    x = 53.38

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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.