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Finding the Fourth Proportional to 132.02, 182.46 and 110.14

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Solution

The fourth proportional to 132.02, 182.46 and 110.14 is: 152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.02 : 182.46 = 110.14 : x
  2. Step 2: Convert to fraction form
    132.02/182.46 = 110.14/x
  3. Step 3: Cross multiply
    132.02x = 182.46 × 110.14
  4. Step 4: Simplify right side
    132.02x = 20,096.14
  5. Step 5: Solve for x
    x = 20,096.14/132.02
  6. Step 6: Final answer
    x = 152.22

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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.