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Finding the Fourth Proportional to 138.86, 208.32 and 78.03

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Solution

The fourth proportional to 138.86, 208.32 and 78.03 is: 117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.86 : 208.32 = 78.03 : x
  2. Step 2: Convert to fraction form
    138.86/208.32 = 78.03/x
  3. Step 3: Cross multiply
    138.86x = 208.32 × 78.03
  4. Step 4: Simplify right side
    138.86x = 16,255.21
  5. Step 5: Solve for x
    x = 16,255.21/138.86
  6. Step 6: Final answer
    x = 117.07

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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.