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Finding the Fourth Proportional to 51.84, 77.80 and 31.56

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Solution

The fourth proportional to 51.84, 77.80 and 31.56 is: 47.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 77.80 = 31.56 : x
  2. Step 2: Convert to fraction form
    51.84/77.80 = 31.56/x
  3. Step 3: Cross multiply
    51.84x = 77.80 × 31.56
  4. Step 4: Simplify right side
    51.84x = 2,455.37
  5. Step 5: Solve for x
    x = 2,455.37/51.84
  6. Step 6: Final answer
    x = 47.36

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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.