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Finding the Fourth Proportional to 131.16, 196.22 and 114.24

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Solution

The fourth proportional to 131.16, 196.22 and 114.24 is: 170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 196.22 = 114.24 : x
  2. Step 2: Convert to fraction form
    131.16/196.22 = 114.24/x
  3. Step 3: Cross multiply
    131.16x = 196.22 × 114.24
  4. Step 4: Simplify right side
    131.16x = 22,416.17
  5. Step 5: Solve for x
    x = 22,416.17/131.16
  6. Step 6: Final answer
    x = 170.91

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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.