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Finding the Fourth Proportional to 57.76, 86.60 and 50.16

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Solution

The fourth proportional to 57.76, 86.60 and 50.16 is: 75.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.76 : 86.60 = 50.16 : x
  2. Step 2: Convert to fraction form
    57.76/86.60 = 50.16/x
  3. Step 3: Cross multiply
    57.76x = 86.60 × 50.16
  4. Step 4: Simplify right side
    57.76x = 4,343.86
  5. Step 5: Solve for x
    x = 4,343.86/57.76
  6. Step 6: Final answer
    x = 75.21

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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.