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Finding the Fourth Proportional to 51.85, 77.81 and 21.42

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Solution

The fourth proportional to 51.85, 77.81 and 21.42 is: 32.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.85 : 77.81 = 21.42 : x
  2. Step 2: Convert to fraction form
    51.85/77.81 = 21.42/x
  3. Step 3: Cross multiply
    51.85x = 77.81 × 21.42
  4. Step 4: Simplify right side
    51.85x = 1,666.69
  5. Step 5: Solve for x
    x = 1,666.69/51.85
  6. Step 6: Final answer
    x = 32.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.