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Finding the Fourth Proportional to 97.36, 134.20 and 82.80

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Solution

The fourth proportional to 97.36, 134.20 and 82.80 is: 114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.36 : 134.20 = 82.80 : x
  2. Step 2: Convert to fraction form
    97.36/134.20 = 82.80/x
  3. Step 3: Cross multiply
    97.36x = 134.20 × 82.80
  4. Step 4: Simplify right side
    97.36x = 11,111.76
  5. Step 5: Solve for x
    x = 11,111.76/97.36
  6. Step 6: Final answer
    x = 114.13

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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.