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Finding the Fourth Proportional to 151.63, 209.17 and 105.05

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Solution

The fourth proportional to 151.63, 209.17 and 105.05 is: 144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.63 : 209.17 = 105.05 : x
  2. Step 2: Convert to fraction form
    151.63/209.17 = 105.05/x
  3. Step 3: Cross multiply
    151.63x = 209.17 × 105.05
  4. Step 4: Simplify right side
    151.63x = 21,973.31
  5. Step 5: Solve for x
    x = 21,973.31/151.63
  6. Step 6: Final answer
    x = 144.91

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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.