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Finding the Fourth Proportional to 57.25, 79.00 and 31.02

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Solution

The fourth proportional to 57.25, 79.00 and 31.02 is: 42.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.25 : 79.00 = 31.02 : x
  2. Step 2: Convert to fraction form
    57.25/79.00 = 31.02/x
  3. Step 3: Cross multiply
    57.25x = 79.00 × 31.02
  4. Step 4: Simplify right side
    57.25x = 2,450.40
  5. Step 5: Solve for x
    x = 2,450.40/57.25
  6. Step 6: Final answer
    x = 42.80

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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.