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Finding the Fourth Proportional to 77.58, 107.00 and 63.69

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Solution

The fourth proportional to 77.58, 107.00 and 63.69 is: 87.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.58 : 107.00 = 63.69 : x
  2. Step 2: Convert to fraction form
    77.58/107.00 = 63.69/x
  3. Step 3: Cross multiply
    77.58x = 107.00 × 63.69
  4. Step 4: Simplify right side
    77.58x = 6,814.17
  5. Step 5: Solve for x
    x = 6,814.17/77.58
  6. Step 6: Final answer
    x = 87.83

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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.