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Finding the Fourth Proportional to 130.86, 196.31 and 101.97

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Solution

The fourth proportional to 130.86, 196.31 and 101.97 is: 152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.86 : 196.31 = 101.97 : x
  2. Step 2: Convert to fraction form
    130.86/196.31 = 101.97/x
  3. Step 3: Cross multiply
    130.86x = 196.31 × 101.97
  4. Step 4: Simplify right side
    130.86x = 20,017.73
  5. Step 5: Solve for x
    x = 20,017.73/130.86
  6. Step 6: Final answer
    x = 152.97

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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.