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Finding the Fourth Proportional to 92.25, 127.14 and 85.74

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Solution

The fourth proportional to 92.25, 127.14 and 85.74 is: 118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.25 : 127.14 = 85.74 : x
  2. Step 2: Convert to fraction form
    92.25/127.14 = 85.74/x
  3. Step 3: Cross multiply
    92.25x = 127.14 × 85.74
  4. Step 4: Simplify right side
    92.25x = 10,900.98
  5. Step 5: Solve for x
    x = 10,900.98/92.25
  6. Step 6: Final answer
    x = 118.17

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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.