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Finding the Fourth Proportional to 138.96, 208.32 and 78.02

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Solution

The fourth proportional to 138.96, 208.32 and 78.02 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.96 : 208.32 = 78.02 : x
  2. Step 2: Convert to fraction form
    138.96/208.32 = 78.02/x
  3. Step 3: Cross multiply
    138.96x = 208.32 × 78.02
  4. Step 4: Simplify right side
    138.96x = 16,252.08
  5. Step 5: Solve for x
    x = 16,252.08/138.96
  6. Step 6: Final answer
    x = 116.96

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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.