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Finding the Fourth Proportional to 98.59, 135.95 and 83.82

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Solution

The fourth proportional to 98.59, 135.95 and 83.82 is: 115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.59 : 135.95 = 83.82 : x
  2. Step 2: Convert to fraction form
    98.59/135.95 = 83.82/x
  3. Step 3: Cross multiply
    98.59x = 135.95 × 83.82
  4. Step 4: Simplify right side
    98.59x = 11,395.33
  5. Step 5: Solve for x
    x = 11,395.33/98.59
  6. Step 6: Final answer
    x = 115.58

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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.