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Finding the Fourth Proportional to 56.43, 84.23 and 51.62

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Solution

The fourth proportional to 56.43, 84.23 and 51.62 is: 77.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.43 : 84.23 = 51.62 : x
  2. Step 2: Convert to fraction form
    56.43/84.23 = 51.62/x
  3. Step 3: Cross multiply
    56.43x = 84.23 × 51.62
  4. Step 4: Simplify right side
    56.43x = 4,348.09
  5. Step 5: Solve for x
    x = 4,348.09/56.43
  6. Step 6: Final answer
    x = 77.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.