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Finding the Fourth Proportional to 98.34, 135.42 and 83.58

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Solution

The fourth proportional to 98.34, 135.42 and 83.58 is: 115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.34 : 135.42 = 83.58 : x
  2. Step 2: Convert to fraction form
    98.34/135.42 = 83.58/x
  3. Step 3: Cross multiply
    98.34x = 135.42 × 83.58
  4. Step 4: Simplify right side
    98.34x = 11,318.40
  5. Step 5: Solve for x
    x = 11,318.40/98.34
  6. Step 6: Final answer
    x = 115.09

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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.