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Finding the Fourth Proportional to 133.06, 199.45 and 64.48

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Solution

The fourth proportional to 133.06, 199.45 and 64.48 is: 96.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.06 : 199.45 = 64.48 : x
  2. Step 2: Convert to fraction form
    133.06/199.45 = 64.48/x
  3. Step 3: Cross multiply
    133.06x = 199.45 × 64.48
  4. Step 4: Simplify right side
    133.06x = 12,860.54
  5. Step 5: Solve for x
    x = 12,860.54/133.06
  6. Step 6: Final answer
    x = 96.65

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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.