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Finding the Fourth Proportional to 137.67, 207.93 and 137.67

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Solution

The fourth proportional to 137.67, 207.93 and 137.67 is: 207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.67 : 207.93 = 137.67 : x
  2. Step 2: Convert to fraction form
    137.67/207.93 = 137.67/x
  3. Step 3: Cross multiply
    137.67x = 207.93 × 137.67
  4. Step 4: Simplify right side
    137.67x = 28,625.72
  5. Step 5: Solve for x
    x = 28,625.72/137.67
  6. Step 6: Final answer
    x = 207.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.