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Finding the Fourth Proportional to 67.51, 101.22 and 43.57

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Solution

The fourth proportional to 67.51, 101.22 and 43.57 is: 65.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.51 : 101.22 = 43.57 : x
  2. Step 2: Convert to fraction form
    67.51/101.22 = 43.57/x
  3. Step 3: Cross multiply
    67.51x = 101.22 × 43.57
  4. Step 4: Simplify right side
    67.51x = 4,410.16
  5. Step 5: Solve for x
    x = 4,410.16/67.51
  6. Step 6: Final answer
    x = 65.33

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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.