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Finding the Fourth Proportional to 132.93, 199.16 and 94.22

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Solution

The fourth proportional to 132.93, 199.16 and 94.22 is: 141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.93 : 199.16 = 94.22 : x
  2. Step 2: Convert to fraction form
    132.93/199.16 = 94.22/x
  3. Step 3: Cross multiply
    132.93x = 199.16 × 94.22
  4. Step 4: Simplify right side
    132.93x = 18,764.12
  5. Step 5: Solve for x
    x = 18,764.12/132.93
  6. Step 6: Final answer
    x = 141.16

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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.