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Finding the Fourth Proportional to 68.00, 102.07 and 27.45

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Solution

The fourth proportional to 68.00, 102.07 and 27.45 is: 41.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.00 : 102.07 = 27.45 : x
  2. Step 2: Convert to fraction form
    68.00/102.07 = 27.45/x
  3. Step 3: Cross multiply
    68.00x = 102.07 × 27.45
  4. Step 4: Simplify right side
    68.00x = 2,801.47
  5. Step 5: Solve for x
    x = 2,801.47/68.00
  6. Step 6: Final answer
    x = 41.20

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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.