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Finding the Fourth Proportional to 132.81, 199.24 and 46.16

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Solution

The fourth proportional to 132.81, 199.24 and 46.16 is: 69.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.81 : 199.24 = 46.16 : x
  2. Step 2: Convert to fraction form
    132.81/199.24 = 46.16/x
  3. Step 3: Cross multiply
    132.81x = 199.24 × 46.16
  4. Step 4: Simplify right side
    132.81x = 9,196.92
  5. Step 5: Solve for x
    x = 9,196.92/132.81
  6. Step 6: Final answer
    x = 69.25

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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.