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Finding the Fourth Proportional to 132.42, 181.59 and 132.10

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Solution

The fourth proportional to 132.42, 181.59 and 132.10 is: 181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.42 : 181.59 = 132.10 : x
  2. Step 2: Convert to fraction form
    132.42/181.59 = 132.10/x
  3. Step 3: Cross multiply
    132.42x = 181.59 × 132.10
  4. Step 4: Simplify right side
    132.42x = 23,987.38
  5. Step 5: Solve for x
    x = 23,987.38/132.42
  6. Step 6: Final answer
    x = 181.15

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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.