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Finding the Fourth Proportional to 77.86, 107.43 and 52.06

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Solution

The fourth proportional to 77.86, 107.43 and 52.06 is: 71.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.86 : 107.43 = 52.06 : x
  2. Step 2: Convert to fraction form
    77.86/107.43 = 52.06/x
  3. Step 3: Cross multiply
    77.86x = 107.43 × 52.06
  4. Step 4: Simplify right side
    77.86x = 5,592.81
  5. Step 5: Solve for x
    x = 5,592.81/77.86
  6. Step 6: Final answer
    x = 71.83

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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.