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Finding the Fourth Proportional to 137.86, 206.62 and 77.04

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Solution

The fourth proportional to 137.86, 206.62 and 77.04 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.86 : 206.62 = 77.04 : x
  2. Step 2: Convert to fraction form
    137.86/206.62 = 77.04/x
  3. Step 3: Cross multiply
    137.86x = 206.62 × 77.04
  4. Step 4: Simplify right side
    137.86x = 15,918.00
  5. Step 5: Solve for x
    x = 15,918.00/137.86
  6. Step 6: Final answer
    x = 115.46

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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.