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Finding the Fourth Proportional to 51.60, 77.40 and 21.14

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Solution

The fourth proportional to 51.60, 77.40 and 21.14 is: 31.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.60 : 77.40 = 21.14 : x
  2. Step 2: Convert to fraction form
    51.60/77.40 = 21.14/x
  3. Step 3: Cross multiply
    51.60x = 77.40 × 21.14
  4. Step 4: Simplify right side
    51.60x = 1,636.39
  5. Step 5: Solve for x
    x = 1,636.39/51.60
  6. Step 6: Final answer
    x = 31.71

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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.