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Finding the Fourth Proportional to 131.06, 196.59 and 115.13

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Solution

The fourth proportional to 131.06, 196.59 and 115.13 is: 172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.06 : 196.59 = 115.13 : x
  2. Step 2: Convert to fraction form
    131.06/196.59 = 115.13/x
  3. Step 3: Cross multiply
    131.06x = 196.59 × 115.13
  4. Step 4: Simplify right side
    131.06x = 22,633.41
  5. Step 5: Solve for x
    x = 22,633.41/131.06
  6. Step 6: Final answer
    x = 172.70

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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.