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Finding the Fourth Proportional to 161.42, 242.14 and 70.19

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Solution

The fourth proportional to 161.42, 242.14 and 70.19 is: 105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.42 : 242.14 = 70.19 : x
  2. Step 2: Convert to fraction form
    161.42/242.14 = 70.19/x
  3. Step 3: Cross multiply
    161.42x = 242.14 × 70.19
  4. Step 4: Simplify right side
    161.42x = 16,996.24
  5. Step 5: Solve for x
    x = 16,996.24/161.42
  6. Step 6: Final answer
    x = 105.30

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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.