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Finding the Fourth Proportional to 67.69, 101.67 and 64.23

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Solution

The fourth proportional to 67.69, 101.67 and 64.23 is: 96.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.69 : 101.67 = 64.23 : x
  2. Step 2: Convert to fraction form
    67.69/101.67 = 64.23/x
  3. Step 3: Cross multiply
    67.69x = 101.67 × 64.23
  4. Step 4: Simplify right side
    67.69x = 6,530.26
  5. Step 5: Solve for x
    x = 6,530.26/67.69
  6. Step 6: Final answer
    x = 96.47

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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.