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Finding the Fourth Proportional to 161.34, 242.04 and 74.71

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Solution

The fourth proportional to 161.34, 242.04 and 74.71 is: 112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.34 : 242.04 = 74.71 : x
  2. Step 2: Convert to fraction form
    161.34/242.04 = 74.71/x
  3. Step 3: Cross multiply
    161.34x = 242.04 × 74.71
  4. Step 4: Simplify right side
    161.34x = 18,082.81
  5. Step 5: Solve for x
    x = 18,082.81/161.34
  6. Step 6: Final answer
    x = 112.08

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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.