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Finding the Fourth Proportional to 106.72, 146.97 and 101.86

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Solution

The fourth proportional to 106.72, 146.97 and 101.86 is: 140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.72 : 146.97 = 101.86 : x
  2. Step 2: Convert to fraction form
    106.72/146.97 = 101.86/x
  3. Step 3: Cross multiply
    106.72x = 146.97 × 101.86
  4. Step 4: Simplify right side
    106.72x = 14,970.36
  5. Step 5: Solve for x
    x = 14,970.36/106.72
  6. Step 6: Final answer
    x = 140.28

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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.