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Finding the Fourth Proportional to 51.66, 77.34 and 34.51

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Solution

The fourth proportional to 51.66, 77.34 and 34.51 is: 51.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.66 : 77.34 = 34.51 : x
  2. Step 2: Convert to fraction form
    51.66/77.34 = 34.51/x
  3. Step 3: Cross multiply
    51.66x = 77.34 × 34.51
  4. Step 4: Simplify right side
    51.66x = 2,669.36
  5. Step 5: Solve for x
    x = 2,669.36/51.66
  6. Step 6: Final answer
    x = 51.68

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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.