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Finding the Fourth Proportional to 51.83, 77.70 and 21.38

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Solution

The fourth proportional to 51.83, 77.70 and 21.38 is: 32.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.83 : 77.70 = 21.38 : x
  2. Step 2: Convert to fraction form
    51.83/77.70 = 21.38/x
  3. Step 3: Cross multiply
    51.83x = 77.70 × 21.38
  4. Step 4: Simplify right side
    51.83x = 1,661.23
  5. Step 5: Solve for x
    x = 1,661.23/51.83
  6. Step 6: Final answer
    x = 32.05

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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.