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Finding the Fourth Proportional to 52.09, 77.59 and 51.38

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Solution

The fourth proportional to 52.09, 77.59 and 51.38 is: 76.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.09 : 77.59 = 51.38 : x
  2. Step 2: Convert to fraction form
    52.09/77.59 = 51.38/x
  3. Step 3: Cross multiply
    52.09x = 77.59 × 51.38
  4. Step 4: Simplify right side
    52.09x = 3,986.57
  5. Step 5: Solve for x
    x = 3,986.57/52.09
  6. Step 6: Final answer
    x = 76.53

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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.