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Finding the Fourth Proportional to 68.09, 102.14 and 36.05

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Solution

The fourth proportional to 68.09, 102.14 and 36.05 is: 54.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.09 : 102.14 = 36.05 : x
  2. Step 2: Convert to fraction form
    68.09/102.14 = 36.05/x
  3. Step 3: Cross multiply
    68.09x = 102.14 × 36.05
  4. Step 4: Simplify right side
    68.09x = 3,681.73
  5. Step 5: Solve for x
    x = 3,681.73/68.09
  6. Step 6: Final answer
    x = 54.08

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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.