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Finding the Fourth Proportional to 42.00, 57.97 and 25.63

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Solution

The fourth proportional to 42.00, 57.97 and 25.63 is: 35.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.00 : 57.97 = 25.63 : x
  2. Step 2: Convert to fraction form
    42.00/57.97 = 25.63/x
  3. Step 3: Cross multiply
    42.00x = 57.97 × 25.63
  4. Step 4: Simplify right side
    42.00x = 1,485.42
  5. Step 5: Solve for x
    x = 1,485.42/42.00
  6. Step 6: Final answer
    x = 35.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.