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Finding the Fourth Proportional to 133.95, 200.81 and 65.48

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Solution

The fourth proportional to 133.95, 200.81 and 65.48 is: 98.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.95 : 200.81 = 65.48 : x
  2. Step 2: Convert to fraction form
    133.95/200.81 = 65.48/x
  3. Step 3: Cross multiply
    133.95x = 200.81 × 65.48
  4. Step 4: Simplify right side
    133.95x = 13,148.20
  5. Step 5: Solve for x
    x = 13,148.20/133.95
  6. Step 6: Final answer
    x = 98.15

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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.