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Finding the Fourth Proportional to 51.39, 77.57 and 51.12

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Solution

The fourth proportional to 51.39, 77.57 and 51.12 is: 77.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.39 : 77.57 = 51.12 : x
  2. Step 2: Convert to fraction form
    51.39/77.57 = 51.12/x
  3. Step 3: Cross multiply
    51.39x = 77.57 × 51.12
  4. Step 4: Simplify right side
    51.39x = 3,965.38
  5. Step 5: Solve for x
    x = 3,965.38/51.39
  6. Step 6: Final answer
    x = 77.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.