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Finding the Fourth Proportional to 68, 102 and 25.26

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Solution

The fourth proportional to 68, 102 and 25.26 is: 37.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68 : 102 = 25.26 : x
  2. Step 2: Convert to fraction form
    68/102 = 25.26/x
  3. Step 3: Cross multiply
    68x = 102 × 25.26
  4. Step 4: Simplify right side
    68x = 2,576.52
  5. Step 5: Solve for x
    x = 2,576.52/68
  6. Step 6: Final answer
    x = 37.89

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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.