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Finding the Fourth Proportional to 51.25, 70.68 and 34.66

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Solution

The fourth proportional to 51.25, 70.68 and 34.66 is: 47.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.25 : 70.68 = 34.66 : x
  2. Step 2: Convert to fraction form
    51.25/70.68 = 34.66/x
  3. Step 3: Cross multiply
    51.25x = 70.68 × 34.66
  4. Step 4: Simplify right side
    51.25x = 2,449.77
  5. Step 5: Solve for x
    x = 2,449.77/51.25
  6. Step 6: Final answer
    x = 47.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.