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Finding the Fourth Proportional to 92.34, 127.78 and 74.12

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Solution

The fourth proportional to 92.34, 127.78 and 74.12 is: 102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.34 : 127.78 = 74.12 : x
  2. Step 2: Convert to fraction form
    92.34/127.78 = 74.12/x
  3. Step 3: Cross multiply
    92.34x = 127.78 × 74.12
  4. Step 4: Simplify right side
    92.34x = 9,470.23
  5. Step 5: Solve for x
    x = 9,470.23/92.34
  6. Step 6: Final answer
    x = 102.56

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