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Finding the Fourth Proportional to 161.47, 242.70 and 107.71

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Solution

The fourth proportional to 161.47, 242.70 and 107.71 is: 161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.47 : 242.70 = 107.71 : x
  2. Step 2: Convert to fraction form
    161.47/242.70 = 107.71/x
  3. Step 3: Cross multiply
    161.47x = 242.70 × 107.71
  4. Step 4: Simplify right side
    161.47x = 26,140.00
  5. Step 5: Solve for x
    x = 26,140.00/161.47
  6. Step 6: Final answer
    x = 161.89

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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.