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Finding the Fourth Proportional to 162.89, 224.41 and 113.69

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Solution

The fourth proportional to 162.89, 224.41 and 113.69 is: 156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.89 : 224.41 = 113.69 : x
  2. Step 2: Convert to fraction form
    162.89/224.41 = 113.69/x
  3. Step 3: Cross multiply
    162.89x = 224.41 × 113.69
  4. Step 4: Simplify right side
    162.89x = 25,513.17
  5. Step 5: Solve for x
    x = 25,513.17/162.89
  6. Step 6: Final answer
    x = 156.63

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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.