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Finding the Fourth Proportional to 97.83, 134.28 and 87.24

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Solution

The fourth proportional to 97.83, 134.28 and 87.24 is: 119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.83 : 134.28 = 87.24 : x
  2. Step 2: Convert to fraction form
    97.83/134.28 = 87.24/x
  3. Step 3: Cross multiply
    97.83x = 134.28 × 87.24
  4. Step 4: Simplify right side
    97.83x = 11,714.59
  5. Step 5: Solve for x
    x = 11,714.59/97.83
  6. Step 6: Final answer
    x = 119.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.