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Finding the Fourth Proportional to 51.66, 77.48 and 22.77

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Solution

The fourth proportional to 51.66, 77.48 and 22.77 is: 34.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.66 : 77.48 = 22.77 : x
  2. Step 2: Convert to fraction form
    51.66/77.48 = 22.77/x
  3. Step 3: Cross multiply
    51.66x = 77.48 × 22.77
  4. Step 4: Simplify right side
    51.66x = 1,763.72
  5. Step 5: Solve for x
    x = 1,763.72/51.66
  6. Step 6: Final answer
    x = 34.14

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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.