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Finding the Fourth Proportional to 161.46, 242.10 and 106.56

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Solution

The fourth proportional to 161.46, 242.10 and 106.56 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 242.10 = 106.56 : x
  2. Step 2: Convert to fraction form
    161.46/242.10 = 106.56/x
  3. Step 3: Cross multiply
    161.46x = 242.10 × 106.56
  4. Step 4: Simplify right side
    161.46x = 25,798.18
  5. Step 5: Solve for x
    x = 25,798.18/161.46
  6. Step 6: Final answer
    x = 159.78

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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.