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Finding the Fourth Proportional to 67.64, 101.66 and 43.47

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Solution

The fourth proportional to 67.64, 101.66 and 43.47 is: 65.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 101.66 = 43.47 : x
  2. Step 2: Convert to fraction form
    67.64/101.66 = 43.47/x
  3. Step 3: Cross multiply
    67.64x = 101.66 × 43.47
  4. Step 4: Simplify right side
    67.64x = 4,418.94
  5. Step 5: Solve for x
    x = 4,418.94/67.64
  6. Step 6: Final answer
    x = 65.34

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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.