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Finding the Fourth Proportional to 148.03, 203.17 and 132.13

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Solution

The fourth proportional to 148.03, 203.17 and 132.13 is: 181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.03 : 203.17 = 132.13 : x
  2. Step 2: Convert to fraction form
    148.03/203.17 = 132.13/x
  3. Step 3: Cross multiply
    148.03x = 203.17 × 132.13
  4. Step 4: Simplify right side
    148.03x = 26,844.85
  5. Step 5: Solve for x
    x = 26,844.85/148.03
  6. Step 6: Final answer
    x = 181.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.