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Finding the Fourth Proportional to 92.48, 137.93 and 82.76

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Solution

The fourth proportional to 92.48, 137.93 and 82.76 is: 123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.48 : 137.93 = 82.76 : x
  2. Step 2: Convert to fraction form
    92.48/137.93 = 82.76/x
  3. Step 3: Cross multiply
    92.48x = 137.93 × 82.76
  4. Step 4: Simplify right side
    92.48x = 11,413.98
  5. Step 5: Solve for x
    x = 11,413.98/92.48
  6. Step 6: Final answer
    x = 123.43

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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.