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Finding the Fourth Proportional to 92.19, 127.01 and 75.79

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Solution

The fourth proportional to 92.19, 127.01 and 75.79 is: 104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.19 : 127.01 = 75.79 : x
  2. Step 2: Convert to fraction form
    92.19/127.01 = 75.79/x
  3. Step 3: Cross multiply
    92.19x = 127.01 × 75.79
  4. Step 4: Simplify right side
    92.19x = 9,625.19
  5. Step 5: Solve for x
    x = 9,625.19/92.19
  6. Step 6: Final answer
    x = 104.41

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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.