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Finding the Fourth Proportional to 161.43, 242.49 and 116.07

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Solution

The fourth proportional to 161.43, 242.49 and 116.07 is: 174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.43 : 242.49 = 116.07 : x
  2. Step 2: Convert to fraction form
    161.43/242.49 = 116.07/x
  3. Step 3: Cross multiply
    161.43x = 242.49 × 116.07
  4. Step 4: Simplify right side
    161.43x = 28,145.81
  5. Step 5: Solve for x
    x = 28,145.81/161.43
  6. Step 6: Final answer
    x = 174.35

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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.