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Finding the Fourth Proportional to 133.03, 198.86 and 98.47

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Solution

The fourth proportional to 133.03, 198.86 and 98.47 is: 147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.03 : 198.86 = 98.47 : x
  2. Step 2: Convert to fraction form
    133.03/198.86 = 98.47/x
  3. Step 3: Cross multiply
    133.03x = 198.86 × 98.47
  4. Step 4: Simplify right side
    133.03x = 19,581.74
  5. Step 5: Solve for x
    x = 19,581.74/133.03
  6. Step 6: Final answer
    x = 147.20

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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.