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Finding the Fourth Proportional to 138.79, 208.59 and 102.88

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Solution

The fourth proportional to 138.79, 208.59 and 102.88 is: 154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.79 : 208.59 = 102.88 : x
  2. Step 2: Convert to fraction form
    138.79/208.59 = 102.88/x
  3. Step 3: Cross multiply
    138.79x = 208.59 × 102.88
  4. Step 4: Simplify right side
    138.79x = 21,459.74
  5. Step 5: Solve for x
    x = 21,459.74/138.79
  6. Step 6: Final answer
    x = 154.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.