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Finding the Fourth Proportional to 92.40, 126.41 and 92.00

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Solution

The fourth proportional to 92.40, 126.41 and 92.00 is: 125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.40 : 126.41 = 92.00 : x
  2. Step 2: Convert to fraction form
    92.40/126.41 = 92.00/x
  3. Step 3: Cross multiply
    92.40x = 126.41 × 92.00
  4. Step 4: Simplify right side
    92.40x = 11,628.63
  5. Step 5: Solve for x
    x = 11,628.63/92.40
  6. Step 6: Final answer
    x = 125.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.