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Finding the Fourth Proportional to 92.13, 127.25 and 77.43

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Solution

The fourth proportional to 92.13, 127.25 and 77.43 is: 106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.13 : 127.25 = 77.43 : x
  2. Step 2: Convert to fraction form
    92.13/127.25 = 77.43/x
  3. Step 3: Cross multiply
    92.13x = 127.25 × 77.43
  4. Step 4: Simplify right side
    92.13x = 9,852.58
  5. Step 5: Solve for x
    x = 9,852.58/92.13
  6. Step 6: Final answer
    x = 106.94

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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.