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Finding the Fourth Proportional to 131.91, 196.98 and 114.84

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Solution

The fourth proportional to 131.91, 196.98 and 114.84 is: 171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.91 : 196.98 = 114.84 : x
  2. Step 2: Convert to fraction form
    131.91/196.98 = 114.84/x
  3. Step 3: Cross multiply
    131.91x = 196.98 × 114.84
  4. Step 4: Simplify right side
    131.91x = 22,621.18
  5. Step 5: Solve for x
    x = 22,621.18/131.91
  6. Step 6: Final answer
    x = 171.49

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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.