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Finding the Fourth Proportional to 77.63, 106.92 and 76.23

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Solution

The fourth proportional to 77.63, 106.92 and 76.23 is: 105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.63 : 106.92 = 76.23 : x
  2. Step 2: Convert to fraction form
    77.63/106.92 = 76.23/x
  3. Step 3: Cross multiply
    77.63x = 106.92 × 76.23
  4. Step 4: Simplify right side
    77.63x = 8,150.51
  5. Step 5: Solve for x
    x = 8,150.51/77.63
  6. Step 6: Final answer
    x = 105.00

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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.