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Finding the Fourth Proportional to 161.59, 242.17 and 70.27

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Solution

The fourth proportional to 161.59, 242.17 and 70.27 is: 105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.59 : 242.17 = 70.27 : x
  2. Step 2: Convert to fraction form
    161.59/242.17 = 70.27/x
  3. Step 3: Cross multiply
    161.59x = 242.17 × 70.27
  4. Step 4: Simplify right side
    161.59x = 17,017.29
  5. Step 5: Solve for x
    x = 17,017.29/161.59
  6. Step 6: Final answer
    x = 105.31

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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.