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Finding the Fourth Proportional to 51.52, 77.33 and 37.95

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Solution

The fourth proportional to 51.52, 77.33 and 37.95 is: 56.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.52 : 77.33 = 37.95 : x
  2. Step 2: Convert to fraction form
    51.52/77.33 = 37.95/x
  3. Step 3: Cross multiply
    51.52x = 77.33 × 37.95
  4. Step 4: Simplify right side
    51.52x = 2,934.67
  5. Step 5: Solve for x
    x = 2,934.67/51.52
  6. Step 6: Final answer
    x = 56.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.