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Finding the Fourth Proportional to 205.09, 307.61 and 68.13

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Solution

The fourth proportional to 205.09, 307.61 and 68.13 is: 102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.09 : 307.61 = 68.13 : x
  2. Step 2: Convert to fraction form
    205.09/307.61 = 68.13/x
  3. Step 3: Cross multiply
    205.09x = 307.61 × 68.13
  4. Step 4: Simplify right side
    205.09x = 20,957.47
  5. Step 5: Solve for x
    x = 20,957.47/205.09
  6. Step 6: Final answer
    x = 102.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.