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Finding the Fourth Proportional to 144.63, 199.80 and 117.09

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Solution

The fourth proportional to 144.63, 199.80 and 117.09 is: 161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.63 : 199.80 = 117.09 : x
  2. Step 2: Convert to fraction form
    144.63/199.80 = 117.09/x
  3. Step 3: Cross multiply
    144.63x = 199.80 × 117.09
  4. Step 4: Simplify right side
    144.63x = 23,394.58
  5. Step 5: Solve for x
    x = 23,394.58/144.63
  6. Step 6: Final answer
    x = 161.75

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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.