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Finding the Fourth Proportional to 77.23, 106.62 and 52.70

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Solution

The fourth proportional to 77.23, 106.62 and 52.70 is: 72.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.23 : 106.62 = 52.70 : x
  2. Step 2: Convert to fraction form
    77.23/106.62 = 52.70/x
  3. Step 3: Cross multiply
    77.23x = 106.62 × 52.70
  4. Step 4: Simplify right side
    77.23x = 5,618.94
  5. Step 5: Solve for x
    x = 5,618.94/77.23
  6. Step 6: Final answer
    x = 72.76

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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.