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Finding the Fourth Proportional to 57.77, 86.64 and 21.69

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Solution

The fourth proportional to 57.77, 86.64 and 21.69 is: 32.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.77 : 86.64 = 21.69 : x
  2. Step 2: Convert to fraction form
    57.77/86.64 = 21.69/x
  3. Step 3: Cross multiply
    57.77x = 86.64 × 21.69
  4. Step 4: Simplify right side
    57.77x = 1,879.11
  5. Step 5: Solve for x
    x = 1,879.11/57.77
  6. Step 6: Final answer
    x = 32.53

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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.