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Finding the Fourth Proportional to 162.86, 224.78 and 107.69

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Solution

The fourth proportional to 162.86, 224.78 and 107.69 is: 148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.86 : 224.78 = 107.69 : x
  2. Step 2: Convert to fraction form
    162.86/224.78 = 107.69/x
  3. Step 3: Cross multiply
    162.86x = 224.78 × 107.69
  4. Step 4: Simplify right side
    162.86x = 24,204.90
  5. Step 5: Solve for x
    x = 24,204.90/162.86
  6. Step 6: Final answer
    x = 148.63

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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.