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Finding the Fourth Proportional to 77.23, 106.49 and 52.68

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Solution

The fourth proportional to 77.23, 106.49 and 52.68 is: 72.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.23 : 106.49 = 52.68 : x
  2. Step 2: Convert to fraction form
    77.23/106.49 = 52.68/x
  3. Step 3: Cross multiply
    77.23x = 106.49 × 52.68
  4. Step 4: Simplify right side
    77.23x = 5,609.36
  5. Step 5: Solve for x
    x = 5,609.36/77.23
  6. Step 6: Final answer
    x = 72.64

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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.