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Finding the Fourth Proportional to 77.31, 106.44 and 65.01

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Solution

The fourth proportional to 77.31, 106.44 and 65.01 is: 89.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.31 : 106.44 = 65.01 : x
  2. Step 2: Convert to fraction form
    77.31/106.44 = 65.01/x
  3. Step 3: Cross multiply
    77.31x = 106.44 × 65.01
  4. Step 4: Simplify right side
    77.31x = 6,919.66
  5. Step 5: Solve for x
    x = 6,919.66/77.31
  6. Step 6: Final answer
    x = 89.51

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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.