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Finding the Fourth Proportional to 98.86, 147.60 and 83.33

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Solution

The fourth proportional to 98.86, 147.60 and 83.33 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.86 : 147.60 = 83.33 : x
  2. Step 2: Convert to fraction form
    98.86/147.60 = 83.33/x
  3. Step 3: Cross multiply
    98.86x = 147.60 × 83.33
  4. Step 4: Simplify right side
    98.86x = 12,299.09
  5. Step 5: Solve for x
    x = 12,299.09/98.86
  6. Step 6: Final answer
    x = 124.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.