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Finding the Fourth Proportional to 92.06, 137.82 and 51.38

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Solution

The fourth proportional to 92.06, 137.82 and 51.38 is: 76.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.06 : 137.82 = 51.38 : x
  2. Step 2: Convert to fraction form
    92.06/137.82 = 51.38/x
  3. Step 3: Cross multiply
    92.06x = 137.82 × 51.38
  4. Step 4: Simplify right side
    92.06x = 7,081.19
  5. Step 5: Solve for x
    x = 7,081.19/92.06
  6. Step 6: Final answer
    x = 76.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.