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Finding the Fourth Proportional to 132.01, 181.77 and 115.54

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Solution

The fourth proportional to 132.01, 181.77 and 115.54 is: 159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.01 : 181.77 = 115.54 : x
  2. Step 2: Convert to fraction form
    132.01/181.77 = 115.54/x
  3. Step 3: Cross multiply
    132.01x = 181.77 × 115.54
  4. Step 4: Simplify right side
    132.01x = 21,001.71
  5. Step 5: Solve for x
    x = 21,001.71/132.01
  6. Step 6: Final answer
    x = 159.09

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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.