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Finding the Fourth Proportional to 57.25, 85.86 and 42.00

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Solution

The fourth proportional to 57.25, 85.86 and 42.00 is: 62.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.25 : 85.86 = 42.00 : x
  2. Step 2: Convert to fraction form
    57.25/85.86 = 42.00/x
  3. Step 3: Cross multiply
    57.25x = 85.86 × 42.00
  4. Step 4: Simplify right side
    57.25x = 3,605.69
  5. Step 5: Solve for x
    x = 3,605.69/57.25
  6. Step 6: Final answer
    x = 62.98

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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.