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Finding the Fourth Proportional to 57.99, 87.50 and 55.05

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Solution

The fourth proportional to 57.99, 87.50 and 55.05 is: 83.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.99 : 87.50 = 55.05 : x
  2. Step 2: Convert to fraction form
    57.99/87.50 = 55.05/x
  3. Step 3: Cross multiply
    57.99x = 87.50 × 55.05
  4. Step 4: Simplify right side
    57.99x = 4,816.88
  5. Step 5: Solve for x
    x = 4,816.88/57.99
  6. Step 6: Final answer
    x = 83.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.