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Finding the Fourth Proportional to 161.82, 242.28 and 110.16

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Solution

The fourth proportional to 161.82, 242.28 and 110.16 is: 164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.82 : 242.28 = 110.16 : x
  2. Step 2: Convert to fraction form
    161.82/242.28 = 110.16/x
  3. Step 3: Cross multiply
    161.82x = 242.28 × 110.16
  4. Step 4: Simplify right side
    161.82x = 26,689.56
  5. Step 5: Solve for x
    x = 26,689.56/161.82
  6. Step 6: Final answer
    x = 164.93

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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.