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Finding the Fourth Proportional to 116.00, 174.01 and 38.97

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Solution

The fourth proportional to 116.00, 174.01 and 38.97 is: 58.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.00 : 174.01 = 38.97 : x
  2. Step 2: Convert to fraction form
    116.00/174.01 = 38.97/x
  3. Step 3: Cross multiply
    116.00x = 174.01 × 38.97
  4. Step 4: Simplify right side
    116.00x = 6,780.62
  5. Step 5: Solve for x
    x = 6,780.62/116.00
  6. Step 6: Final answer
    x = 58.46

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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.