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Finding the Fourth Proportional to 77.91, 107.64 and 53.42

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Solution

The fourth proportional to 77.91, 107.64 and 53.42 is: 73.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.91 : 107.64 = 53.42 : x
  2. Step 2: Convert to fraction form
    77.91/107.64 = 53.42/x
  3. Step 3: Cross multiply
    77.91x = 107.64 × 53.42
  4. Step 4: Simplify right side
    77.91x = 5,750.42
  5. Step 5: Solve for x
    x = 5,750.42/77.91
  6. Step 6: Final answer
    x = 73.81

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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.