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Finding the Fourth Proportional to 92.08, 137.82 and 51.40

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Solution

The fourth proportional to 92.08, 137.82 and 51.40 is: 76.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.08 : 137.82 = 51.40 : x
  2. Step 2: Convert to fraction form
    92.08/137.82 = 51.40/x
  3. Step 3: Cross multiply
    92.08x = 137.82 × 51.40
  4. Step 4: Simplify right side
    92.08x = 7,083.95
  5. Step 5: Solve for x
    x = 7,083.95/92.08
  6. Step 6: Final answer
    x = 76.93

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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.