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Finding the Fourth Proportional to 151.98, 209.83 and 105.34

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Solution

The fourth proportional to 151.98, 209.83 and 105.34 is: 145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.98 : 209.83 = 105.34 : x
  2. Step 2: Convert to fraction form
    151.98/209.83 = 105.34/x
  3. Step 3: Cross multiply
    151.98x = 209.83 × 105.34
  4. Step 4: Simplify right side
    151.98x = 22,103.49
  5. Step 5: Solve for x
    x = 22,103.49/151.98
  6. Step 6: Final answer
    x = 145.44

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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.