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Finding the Fourth Proportional to 51.47, 77.33 and 43.43

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Solution

The fourth proportional to 51.47, 77.33 and 43.43 is: 65.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.47 : 77.33 = 43.43 : x
  2. Step 2: Convert to fraction form
    51.47/77.33 = 43.43/x
  3. Step 3: Cross multiply
    51.47x = 77.33 × 43.43
  4. Step 4: Simplify right side
    51.47x = 3,357.84
  5. Step 5: Solve for x
    x = 3,357.84/51.47
  6. Step 6: Final answer
    x = 65.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.