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Finding the Fourth Proportional to 106.47, 146.96 and 67.66

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Solution

The fourth proportional to 106.47, 146.96 and 67.66 is: 93.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 146.96 = 67.66 : x
  2. Step 2: Convert to fraction form
    106.47/146.96 = 67.66/x
  3. Step 3: Cross multiply
    106.47x = 146.96 × 67.66
  4. Step 4: Simplify right side
    106.47x = 9,943.31
  5. Step 5: Solve for x
    x = 9,943.31/106.47
  6. Step 6: Final answer
    x = 93.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.