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Finding the Fourth Proportional to 51.46, 77.13 and 21

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Solution

The fourth proportional to 51.46, 77.13 and 21 is: 31.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.46 : 77.13 = 21 : x
  2. Step 2: Convert to fraction form
    51.46/77.13 = 21/x
  3. Step 3: Cross multiply
    51.46x = 77.13 × 21
  4. Step 4: Simplify right side
    51.46x = 1,619.73
  5. Step 5: Solve for x
    x = 1,619.73/51.46
  6. Step 6: Final answer
    x = 31.48

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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.