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Finding the Fourth Proportional to 138.62, 208.98 and 123.59

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Solution

The fourth proportional to 138.62, 208.98 and 123.59 is: 186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.62 : 208.98 = 123.59 : x
  2. Step 2: Convert to fraction form
    138.62/208.98 = 123.59/x
  3. Step 3: Cross multiply
    138.62x = 208.98 × 123.59
  4. Step 4: Simplify right side
    138.62x = 25,827.84
  5. Step 5: Solve for x
    x = 25,827.84/138.62
  6. Step 6: Final answer
    x = 186.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.