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Finding the Fourth Proportional to 92.04, 126.72 and 83.10

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Solution

The fourth proportional to 92.04, 126.72 and 83.10 is: 114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.04 : 126.72 = 83.10 : x
  2. Step 2: Convert to fraction form
    92.04/126.72 = 83.10/x
  3. Step 3: Cross multiply
    92.04x = 126.72 × 83.10
  4. Step 4: Simplify right side
    92.04x = 10,530.43
  5. Step 5: Solve for x
    x = 10,530.43/92.04
  6. Step 6: Final answer
    x = 114.41

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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.