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Finding the Fourth Proportional to 162.98, 224.78 and 113.92

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Solution

The fourth proportional to 162.98, 224.78 and 113.92 is: 157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.98 : 224.78 = 113.92 : x
  2. Step 2: Convert to fraction form
    162.98/224.78 = 113.92/x
  3. Step 3: Cross multiply
    162.98x = 224.78 × 113.92
  4. Step 4: Simplify right side
    162.98x = 25,606.94
  5. Step 5: Solve for x
    x = 25,606.94/162.98
  6. Step 6: Final answer
    x = 157.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.