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Finding the Fourth Proportional to 137.88, 206.67 and 55.55

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Solution

The fourth proportional to 137.88, 206.67 and 55.55 is: 83.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.88 : 206.67 = 55.55 : x
  2. Step 2: Convert to fraction form
    137.88/206.67 = 55.55/x
  3. Step 3: Cross multiply
    137.88x = 206.67 × 55.55
  4. Step 4: Simplify right side
    137.88x = 11,479.49
  5. Step 5: Solve for x
    x = 11,479.49/137.88
  6. Step 6: Final answer
    x = 83.26

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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.