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Finding the Fourth Proportional to 132.47, 182.81 and 74.25

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Solution

The fourth proportional to 132.47, 182.81 and 74.25 is: 102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.47 : 182.81 = 74.25 : x
  2. Step 2: Convert to fraction form
    132.47/182.81 = 74.25/x
  3. Step 3: Cross multiply
    132.47x = 182.81 × 74.25
  4. Step 4: Simplify right side
    132.47x = 13,573.41
  5. Step 5: Solve for x
    x = 13,573.41/132.47
  6. Step 6: Final answer
    x = 102.47

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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.