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Finding the Fourth Proportional to 57.99, 86.95 and 32.34

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Solution

The fourth proportional to 57.99, 86.95 and 32.34 is: 48.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.99 : 86.95 = 32.34 : x
  2. Step 2: Convert to fraction form
    57.99/86.95 = 32.34/x
  3. Step 3: Cross multiply
    57.99x = 86.95 × 32.34
  4. Step 4: Simplify right side
    57.99x = 2,811.96
  5. Step 5: Solve for x
    x = 2,811.96/57.99
  6. Step 6: Final answer
    x = 48.49

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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.