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Finding the Fourth Proportional to 51.96, 77.90 and 29.16

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Solution

The fourth proportional to 51.96, 77.90 and 29.16 is: 43.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.96 : 77.90 = 29.16 : x
  2. Step 2: Convert to fraction form
    51.96/77.90 = 29.16/x
  3. Step 3: Cross multiply
    51.96x = 77.90 × 29.16
  4. Step 4: Simplify right side
    51.96x = 2,271.56
  5. Step 5: Solve for x
    x = 2,271.56/51.96
  6. Step 6: Final answer
    x = 43.72

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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.