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Finding the Fourth Proportional to 34.33, 51.77 and 34.33

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Solution

The fourth proportional to 34.33, 51.77 and 34.33 is: 51.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.33 : 51.77 = 34.33 : x
  2. Step 2: Convert to fraction form
    34.33/51.77 = 34.33/x
  3. Step 3: Cross multiply
    34.33x = 51.77 × 34.33
  4. Step 4: Simplify right side
    34.33x = 1,777.01
  5. Step 5: Solve for x
    x = 1,777.01/34.33
  6. Step 6: Final answer
    x = 51.77

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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.