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Finding the Fourth Proportional to 77.82, 107.29 and 65.40

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Solution

The fourth proportional to 77.82, 107.29 and 65.40 is: 90.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 107.29 = 65.40 : x
  2. Step 2: Convert to fraction form
    77.82/107.29 = 65.40/x
  3. Step 3: Cross multiply
    77.82x = 107.29 × 65.40
  4. Step 4: Simplify right side
    77.82x = 7,016.77
  5. Step 5: Solve for x
    x = 7,016.77/77.82
  6. Step 6: Final answer
    x = 90.17

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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.