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Finding the Fourth Proportional to 97.99, 135.33 and 76.25

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Solution

The fourth proportional to 97.99, 135.33 and 76.25 is: 105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.99 : 135.33 = 76.25 : x
  2. Step 2: Convert to fraction form
    97.99/135.33 = 76.25/x
  3. Step 3: Cross multiply
    97.99x = 135.33 × 76.25
  4. Step 4: Simplify right side
    97.99x = 10,318.91
  5. Step 5: Solve for x
    x = 10,318.91/97.99
  6. Step 6: Final answer
    x = 105.31

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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.