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Finding the Fourth Proportional to 161.86, 242.72 and 112.98

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Solution

The fourth proportional to 161.86, 242.72 and 112.98 is: 169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.86 : 242.72 = 112.98 : x
  2. Step 2: Convert to fraction form
    161.86/242.72 = 112.98/x
  3. Step 3: Cross multiply
    161.86x = 242.72 × 112.98
  4. Step 4: Simplify right side
    161.86x = 27,422.51
  5. Step 5: Solve for x
    x = 27,422.51/161.86
  6. Step 6: Final answer
    x = 169.42

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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.