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Finding the Fourth Proportional to 77.09, 106.31 and 64.83

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Solution

The fourth proportional to 77.09, 106.31 and 64.83 is: 89.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.09 : 106.31 = 64.83 : x
  2. Step 2: Convert to fraction form
    77.09/106.31 = 64.83/x
  3. Step 3: Cross multiply
    77.09x = 106.31 × 64.83
  4. Step 4: Simplify right side
    77.09x = 6,892.64
  5. Step 5: Solve for x
    x = 6,892.64/77.09
  6. Step 6: Final answer
    x = 89.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.