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Finding the Fourth Proportional to 92.00, 137.22 and 77.64

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Solution

The fourth proportional to 92.00, 137.22 and 77.64 is: 115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.00 : 137.22 = 77.64 : x
  2. Step 2: Convert to fraction form
    92.00/137.22 = 77.64/x
  3. Step 3: Cross multiply
    92.00x = 137.22 × 77.64
  4. Step 4: Simplify right side
    92.00x = 10,653.76
  5. Step 5: Solve for x
    x = 10,653.76/92.00
  6. Step 6: Final answer
    x = 115.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.