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Finding the Fourth Proportional to 137.90, 207.02 and 89.17

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Solution

The fourth proportional to 137.90, 207.02 and 89.17 is: 133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 207.02 = 89.17 : x
  2. Step 2: Convert to fraction form
    137.90/207.02 = 89.17/x
  3. Step 3: Cross multiply
    137.90x = 207.02 × 89.17
  4. Step 4: Simplify right side
    137.90x = 18,459.68
  5. Step 5: Solve for x
    x = 18,459.68/137.90
  6. Step 6: Final answer
    x = 133.86

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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.