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Finding the Fourth Proportional to 42.00, 57.93 and 28.20

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Solution

The fourth proportional to 42.00, 57.93 and 28.20 is: 38.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.00 : 57.93 = 28.20 : x
  2. Step 2: Convert to fraction form
    42.00/57.93 = 28.20/x
  3. Step 3: Cross multiply
    42.00x = 57.93 × 28.20
  4. Step 4: Simplify right side
    42.00x = 1,633.74
  5. Step 5: Solve for x
    x = 1,633.74/42.00
  6. Step 6: Final answer
    x = 38.90

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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.