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Finding the Fourth Proportional to 92.65, 137.93 and 92.11

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Solution

The fourth proportional to 92.65, 137.93 and 92.11 is: 137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.65 : 137.93 = 92.11 : x
  2. Step 2: Convert to fraction form
    92.65/137.93 = 92.11/x
  3. Step 3: Cross multiply
    92.65x = 137.93 × 92.11
  4. Step 4: Simplify right side
    92.65x = 12,704.73
  5. Step 5: Solve for x
    x = 12,704.73/92.65
  6. Step 6: Final answer
    x = 137.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.