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Finding the Fourth Proportional to 133.76, 200.34 and 99.58

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Solution

The fourth proportional to 133.76, 200.34 and 99.58 is: 149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.76 : 200.34 = 99.58 : x
  2. Step 2: Convert to fraction form
    133.76/200.34 = 99.58/x
  3. Step 3: Cross multiply
    133.76x = 200.34 × 99.58
  4. Step 4: Simplify right side
    133.76x = 19,949.86
  5. Step 5: Solve for x
    x = 19,949.86/133.76
  6. Step 6: Final answer
    x = 149.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.