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Finding the Fourth Proportional to 132.32, 182.62 and 74.10

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Solution

The fourth proportional to 132.32, 182.62 and 74.10 is: 102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.32 : 182.62 = 74.10 : x
  2. Step 2: Convert to fraction form
    132.32/182.62 = 74.10/x
  3. Step 3: Cross multiply
    132.32x = 182.62 × 74.10
  4. Step 4: Simplify right side
    132.32x = 13,532.14
  5. Step 5: Solve for x
    x = 13,532.14/132.32
  6. Step 6: Final answer
    x = 102.27

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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.