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Finding the Fourth Proportional to 98.20, 149.12 and 98.20

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Solution

The fourth proportional to 98.20, 149.12 and 98.20 is: 149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.20 : 149.12 = 98.20 : x
  2. Step 2: Convert to fraction form
    98.20/149.12 = 98.20/x
  3. Step 3: Cross multiply
    98.20x = 149.12 × 98.20
  4. Step 4: Simplify right side
    98.20x = 14,643.58
  5. Step 5: Solve for x
    x = 14,643.58/98.20
  6. Step 6: Final answer
    x = 149.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.