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Finding the Fourth Proportional to 131.08, 195.53 and 116.76

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Solution

The fourth proportional to 131.08, 195.53 and 116.76 is: 174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.08 : 195.53 = 116.76 : x
  2. Step 2: Convert to fraction form
    131.08/195.53 = 116.76/x
  3. Step 3: Cross multiply
    131.08x = 195.53 × 116.76
  4. Step 4: Simplify right side
    131.08x = 22,830.08
  5. Step 5: Solve for x
    x = 22,830.08/131.08
  6. Step 6: Final answer
    x = 174.17

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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.