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Finding the Fourth Proportional to 92.33, 127.49 and 76.05

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Solution

The fourth proportional to 92.33, 127.49 and 76.05 is: 105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.33 : 127.49 = 76.05 : x
  2. Step 2: Convert to fraction form
    92.33/127.49 = 76.05/x
  3. Step 3: Cross multiply
    92.33x = 127.49 × 76.05
  4. Step 4: Simplify right side
    92.33x = 9,695.23
  5. Step 5: Solve for x
    x = 9,695.23/92.33
  6. Step 6: Final answer
    x = 105.01

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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.