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Finding the Fourth Proportional to 98.62, 147.08 and 83.23

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Solution

The fourth proportional to 98.62, 147.08 and 83.23 is: 124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.62 : 147.08 = 83.23 : x
  2. Step 2: Convert to fraction form
    98.62/147.08 = 83.23/x
  3. Step 3: Cross multiply
    98.62x = 147.08 × 83.23
  4. Step 4: Simplify right side
    98.62x = 12,241.31
  5. Step 5: Solve for x
    x = 12,241.31/98.62
  6. Step 6: Final answer
    x = 124.13

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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.