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Finding the Fourth Proportional to 77.99, 107.64 and 48.87

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Solution

The fourth proportional to 77.99, 107.64 and 48.87 is: 67.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.99 : 107.64 = 48.87 : x
  2. Step 2: Convert to fraction form
    77.99/107.64 = 48.87/x
  3. Step 3: Cross multiply
    77.99x = 107.64 × 48.87
  4. Step 4: Simplify right side
    77.99x = 5,260.37
  5. Step 5: Solve for x
    x = 5,260.37/77.99
  6. Step 6: Final answer
    x = 67.45

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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.