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Finding the Fourth Proportional to 132.34, 182.64 and 74.14

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Solution

The fourth proportional to 132.34, 182.64 and 74.14 is: 102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.34 : 182.64 = 74.14 : x
  2. Step 2: Convert to fraction form
    132.34/182.64 = 74.14/x
  3. Step 3: Cross multiply
    132.34x = 182.64 × 74.14
  4. Step 4: Simplify right side
    132.34x = 13,540.93
  5. Step 5: Solve for x
    x = 13,540.93/132.34
  6. Step 6: Final answer
    x = 102.32

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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.