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Finding the Fourth Proportional to 138, 207 and 41.82

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Solution

The fourth proportional to 138, 207 and 41.82 is: 62.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 207 = 41.82 : x
  2. Step 2: Convert to fraction form
    138/207 = 41.82/x
  3. Step 3: Cross multiply
    138x = 207 × 41.82
  4. Step 4: Simplify right side
    138x = 8,656.74
  5. Step 5: Solve for x
    x = 8,656.74/138
  6. Step 6: Final answer
    x = 62.73

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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.