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Finding the Fourth Proportional to 131.68, 196.83 and 101.15

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Solution

The fourth proportional to 131.68, 196.83 and 101.15 is: 151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.68 : 196.83 = 101.15 : x
  2. Step 2: Convert to fraction form
    131.68/196.83 = 101.15/x
  3. Step 3: Cross multiply
    131.68x = 196.83 × 101.15
  4. Step 4: Simplify right side
    131.68x = 19,909.11
  5. Step 5: Solve for x
    x = 19,909.11/131.68
  6. Step 6: Final answer
    x = 151.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.