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Finding the Fourth Proportional to 92.81, 127.98 and 92.00

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Solution

The fourth proportional to 92.81, 127.98 and 92.00 is: 126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.81 : 127.98 = 92.00 : x
  2. Step 2: Convert to fraction form
    92.81/127.98 = 92.00/x
  3. Step 3: Cross multiply
    92.81x = 127.98 × 92.00
  4. Step 4: Simplify right side
    92.81x = 11,774.48
  5. Step 5: Solve for x
    x = 11,774.48/92.81
  6. Step 6: Final answer
    x = 126.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.