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Finding the Fourth Proportional to 77.09, 106.35 and 52.56

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Solution

The fourth proportional to 77.09, 106.35 and 52.56 is: 72.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.09 : 106.35 = 52.56 : x
  2. Step 2: Convert to fraction form
    77.09/106.35 = 52.56/x
  3. Step 3: Cross multiply
    77.09x = 106.35 × 52.56
  4. Step 4: Simplify right side
    77.09x = 5,589.76
  5. Step 5: Solve for x
    x = 5,589.76/77.09
  6. Step 6: Final answer
    x = 72.51

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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.