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Finding the Fourth Proportional to 57.00, 84.99 and 55.98

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Solution

The fourth proportional to 57.00, 84.99 and 55.98 is: 83.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.00 : 84.99 = 55.98 : x
  2. Step 2: Convert to fraction form
    57.00/84.99 = 55.98/x
  3. Step 3: Cross multiply
    57.00x = 84.99 × 55.98
  4. Step 4: Simplify right side
    57.00x = 4,757.79
  5. Step 5: Solve for x
    x = 4,757.79/57.00
  6. Step 6: Final answer
    x = 83.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.