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Finding the Fourth Proportional to 97.82, 135.26 and 93.74

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Solution

The fourth proportional to 97.82, 135.26 and 93.74 is: 129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.82 : 135.26 = 93.74 : x
  2. Step 2: Convert to fraction form
    97.82/135.26 = 93.74/x
  3. Step 3: Cross multiply
    97.82x = 135.26 × 93.74
  4. Step 4: Simplify right side
    97.82x = 12,678.48
  5. Step 5: Solve for x
    x = 12,678.48/97.82
  6. Step 6: Final answer
    x = 129.61

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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.