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Finding the Fourth Proportional to 77.82, 106.94 and 64.86

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Solution

The fourth proportional to 77.82, 106.94 and 64.86 is: 89.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 106.94 = 64.86 : x
  2. Step 2: Convert to fraction form
    77.82/106.94 = 64.86/x
  3. Step 3: Cross multiply
    77.82x = 106.94 × 64.86
  4. Step 4: Simplify right side
    77.82x = 6,935.80
  5. Step 5: Solve for x
    x = 6,935.80/77.82
  6. Step 6: Final answer
    x = 89.13

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Why These Related Problems?

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