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Finding the Fourth Proportional to 51.88, 77.82 and 32.70

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Solution

The fourth proportional to 51.88, 77.82 and 32.70 is: 49.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.88 : 77.82 = 32.70 : x
  2. Step 2: Convert to fraction form
    51.88/77.82 = 32.70/x
  3. Step 3: Cross multiply
    51.88x = 77.82 × 32.70
  4. Step 4: Simplify right side
    51.88x = 2,544.71
  5. Step 5: Solve for x
    x = 2,544.71/51.88
  6. Step 6: Final answer
    x = 49.05

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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.