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Finding the Fourth Proportional to 97.75, 134.91 and 56.31

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Solution

The fourth proportional to 97.75, 134.91 and 56.31 is: 77.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.75 : 134.91 = 56.31 : x
  2. Step 2: Convert to fraction form
    97.75/134.91 = 56.31/x
  3. Step 3: Cross multiply
    97.75x = 134.91 × 56.31
  4. Step 4: Simplify right side
    97.75x = 7,596.50
  5. Step 5: Solve for x
    x = 7,596.50/97.75
  6. Step 6: Final answer
    x = 77.71

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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.