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Finding the Fourth Proportional to 137.15, 205.78 and 55.98

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Solution

The fourth proportional to 137.15, 205.78 and 55.98 is: 83.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.15 : 205.78 = 55.98 : x
  2. Step 2: Convert to fraction form
    137.15/205.78 = 55.98/x
  3. Step 3: Cross multiply
    137.15x = 205.78 × 55.98
  4. Step 4: Simplify right side
    137.15x = 11,518.68
  5. Step 5: Solve for x
    x = 11,518.68/137.15
  6. Step 6: Final answer
    x = 83.98

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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.