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Finding the Fourth Proportional to 138.82, 208.08 and 65.65

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Solution

The fourth proportional to 138.82, 208.08 and 65.65 is: 98.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.82 : 208.08 = 65.65 : x
  2. Step 2: Convert to fraction form
    138.82/208.08 = 65.65/x
  3. Step 3: Cross multiply
    138.82x = 208.08 × 65.65
  4. Step 4: Simplify right side
    138.82x = 13,660.45
  5. Step 5: Solve for x
    x = 13,660.45/138.82
  6. Step 6: Final answer
    x = 98.40

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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.