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Finding the Fourth Proportional to 67.91, 102.03 and 66.47

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Solution

The fourth proportional to 67.91, 102.03 and 66.47 is: 99.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.91 : 102.03 = 66.47 : x
  2. Step 2: Convert to fraction form
    67.91/102.03 = 66.47/x
  3. Step 3: Cross multiply
    67.91x = 102.03 × 66.47
  4. Step 4: Simplify right side
    67.91x = 6,782.31
  5. Step 5: Solve for x
    x = 6,782.31/67.91
  6. Step 6: Final answer
    x = 99.87

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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.