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Finding the Fourth Proportional to 91.11, 137.61 and 91.11

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Solution

The fourth proportional to 91.11, 137.61 and 91.11 is: 137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.11 : 137.61 = 91.11 : x
  2. Step 2: Convert to fraction form
    91.11/137.61 = 91.11/x
  3. Step 3: Cross multiply
    91.11x = 137.61 × 91.11
  4. Step 4: Simplify right side
    91.11x = 12,537.65
  5. Step 5: Solve for x
    x = 12,537.65/91.11
  6. Step 6: Final answer
    x = 137.61

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Why These Related Problems?

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