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Finding the Fourth Proportional to 97.51, 134.22 and 81.80

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Solution

The fourth proportional to 97.51, 134.22 and 81.80 is: 112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.51 : 134.22 = 81.80 : x
  2. Step 2: Convert to fraction form
    97.51/134.22 = 81.80/x
  3. Step 3: Cross multiply
    97.51x = 134.22 × 81.80
  4. Step 4: Simplify right side
    97.51x = 10,978.52
  5. Step 5: Solve for x
    x = 10,978.52/97.51
  6. Step 6: Final answer
    x = 112.59

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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.