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Finding the Fourth Proportional to 51.51, 77.30 and 20.68

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Solution

The fourth proportional to 51.51, 77.30 and 20.68 is: 31.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.51 : 77.30 = 20.68 : x
  2. Step 2: Convert to fraction form
    51.51/77.30 = 20.68/x
  3. Step 3: Cross multiply
    51.51x = 77.30 × 20.68
  4. Step 4: Simplify right side
    51.51x = 1,598.56
  5. Step 5: Solve for x
    x = 1,598.56/51.51
  6. Step 6: Final answer
    x = 31.03

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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.