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Finding the Fourth Proportional to 132.81, 199.25 and 47.31

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Solution

The fourth proportional to 132.81, 199.25 and 47.31 is: 70.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.81 : 199.25 = 47.31 : x
  2. Step 2: Convert to fraction form
    132.81/199.25 = 47.31/x
  3. Step 3: Cross multiply
    132.81x = 199.25 × 47.31
  4. Step 4: Simplify right side
    132.81x = 9,426.52
  5. Step 5: Solve for x
    x = 9,426.52/132.81
  6. Step 6: Final answer
    x = 70.98

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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.