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Finding the Fourth Proportional to 70.00, 104.82 and 57.02

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Solution

The fourth proportional to 70.00, 104.82 and 57.02 is: 85.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.00 : 104.82 = 57.02 : x
  2. Step 2: Convert to fraction form
    70.00/104.82 = 57.02/x
  3. Step 3: Cross multiply
    70.00x = 104.82 × 57.02
  4. Step 4: Simplify right side
    70.00x = 5,976.31
  5. Step 5: Solve for x
    x = 5,976.31/70.00
  6. Step 6: Final answer
    x = 85.38

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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.