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Finding the Fourth Proportional to 51.78, 77.70 and 22.93

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Solution

The fourth proportional to 51.78, 77.70 and 22.93 is: 34.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.78 : 77.70 = 22.93 : x
  2. Step 2: Convert to fraction form
    51.78/77.70 = 22.93/x
  3. Step 3: Cross multiply
    51.78x = 77.70 × 22.93
  4. Step 4: Simplify right side
    51.78x = 1,781.74
  5. Step 5: Solve for x
    x = 1,781.74/51.78
  6. Step 6: Final answer
    x = 34.41

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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.