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Finding the Fourth Proportional to 132.03, 181.31 and 107.06

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Solution

The fourth proportional to 132.03, 181.31 and 107.06 is: 147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.03 : 181.31 = 107.06 : x
  2. Step 2: Convert to fraction form
    132.03/181.31 = 107.06/x
  3. Step 3: Cross multiply
    132.03x = 181.31 × 107.06
  4. Step 4: Simplify right side
    132.03x = 19,409.61
  5. Step 5: Solve for x
    x = 19,409.61/132.03
  6. Step 6: Final answer
    x = 147.01

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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.