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Finding the Fourth Proportional to 97.83, 134.80 and 83.86

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Solution

The fourth proportional to 97.83, 134.80 and 83.86 is: 115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.83 : 134.80 = 83.86 : x
  2. Step 2: Convert to fraction form
    97.83/134.80 = 83.86/x
  3. Step 3: Cross multiply
    97.83x = 134.80 × 83.86
  4. Step 4: Simplify right side
    97.83x = 11,303.78
  5. Step 5: Solve for x
    x = 11,303.78/97.83
  6. Step 6: Final answer
    x = 115.55

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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.