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Finding the Fourth Proportional to 137.84, 207.22 and 97.55

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Solution

The fourth proportional to 137.84, 207.22 and 97.55 is: 146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 207.22 = 97.55 : x
  2. Step 2: Convert to fraction form
    137.84/207.22 = 97.55/x
  3. Step 3: Cross multiply
    137.84x = 207.22 × 97.55
  4. Step 4: Simplify right side
    137.84x = 20,214.31
  5. Step 5: Solve for x
    x = 20,214.31/137.84
  6. Step 6: Final answer
    x = 146.65

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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.