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Finding the Fourth Proportional to 161.26, 242.08 and 65.14

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Solution

The fourth proportional to 161.26, 242.08 and 65.14 is: 97.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.26 : 242.08 = 65.14 : x
  2. Step 2: Convert to fraction form
    161.26/242.08 = 65.14/x
  3. Step 3: Cross multiply
    161.26x = 242.08 × 65.14
  4. Step 4: Simplify right side
    161.26x = 15,769.09
  5. Step 5: Solve for x
    x = 15,769.09/161.26
  6. Step 6: Final answer
    x = 97.79

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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.