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Finding the Fourth Proportional to 138.69, 208.06 and 52.02

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Solution

The fourth proportional to 138.69, 208.06 and 52.02 is: 78.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.69 : 208.06 = 52.02 : x
  2. Step 2: Convert to fraction form
    138.69/208.06 = 52.02/x
  3. Step 3: Cross multiply
    138.69x = 208.06 × 52.02
  4. Step 4: Simplify right side
    138.69x = 10,823.28
  5. Step 5: Solve for x
    x = 10,823.28/138.69
  6. Step 6: Final answer
    x = 78.04

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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.