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Finding the Fourth Proportional to 133, 183.34 and 114.48

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Solution

The fourth proportional to 133, 183.34 and 114.48 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133 : 183.34 = 114.48 : x
  2. Step 2: Convert to fraction form
    133/183.34 = 114.48/x
  3. Step 3: Cross multiply
    133x = 183.34 × 114.48
  4. Step 4: Simplify right side
    133x = 20,988.76
  5. Step 5: Solve for x
    x = 20,988.76/133
  6. Step 6: Final answer
    x = 157.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.