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Finding the Fourth Proportional to 161.42, 242.12 and 70.09

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Solution

The fourth proportional to 161.42, 242.12 and 70.09 is: 105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.42 : 242.12 = 70.09 : x
  2. Step 2: Convert to fraction form
    161.42/242.12 = 70.09/x
  3. Step 3: Cross multiply
    161.42x = 242.12 × 70.09
  4. Step 4: Simplify right side
    161.42x = 16,969.76
  5. Step 5: Solve for x
    x = 16,969.76/161.42
  6. Step 6: Final answer
    x = 105.13

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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.