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Finding the Fourth Proportional to 77.23, 106.53 and 52.71

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Solution

The fourth proportional to 77.23, 106.53 and 52.71 is: 72.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.23 : 106.53 = 52.71 : x
  2. Step 2: Convert to fraction form
    77.23/106.53 = 52.71/x
  3. Step 3: Cross multiply
    77.23x = 106.53 × 52.71
  4. Step 4: Simplify right side
    77.23x = 5,615.20
  5. Step 5: Solve for x
    x = 5,615.20/77.23
  6. Step 6: Final answer
    x = 72.71

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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.