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Finding the Fourth Proportional to 161.96, 242.54 and 116.10

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Solution

The fourth proportional to 161.96, 242.54 and 116.10 is: 173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 242.54 = 116.10 : x
  2. Step 2: Convert to fraction form
    161.96/242.54 = 116.10/x
  3. Step 3: Cross multiply
    161.96x = 242.54 × 116.10
  4. Step 4: Simplify right side
    161.96x = 28,158.89
  5. Step 5: Solve for x
    x = 28,158.89/161.96
  6. Step 6: Final answer
    x = 173.86

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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.