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Finding the Fourth Proportional to 77.72, 116.43 and 56

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Solution

The fourth proportional to 77.72, 116.43 and 56 is: 83.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.72 : 116.43 = 56 : x
  2. Step 2: Convert to fraction form
    77.72/116.43 = 56/x
  3. Step 3: Cross multiply
    77.72x = 116.43 × 56
  4. Step 4: Simplify right side
    77.72x = 6,520.08
  5. Step 5: Solve for x
    x = 6,520.08/77.72
  6. Step 6: Final answer
    x = 83.89

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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.