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Finding the Fourth Proportional to 161.40, 242.01 and 74.70

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Solution

The fourth proportional to 161.40, 242.01 and 74.70 is: 112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.40 : 242.01 = 74.70 : x
  2. Step 2: Convert to fraction form
    161.40/242.01 = 74.70/x
  3. Step 3: Cross multiply
    161.40x = 242.01 × 74.70
  4. Step 4: Simplify right side
    161.40x = 18,078.15
  5. Step 5: Solve for x
    x = 18,078.15/161.40
  6. Step 6: Final answer
    x = 112.01

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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.