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Finding the Fourth Proportional to 131.52, 181.60 and 109.38

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Solution

The fourth proportional to 131.52, 181.60 and 109.38 is: 151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.52 : 181.60 = 109.38 : x
  2. Step 2: Convert to fraction form
    131.52/181.60 = 109.38/x
  3. Step 3: Cross multiply
    131.52x = 181.60 × 109.38
  4. Step 4: Simplify right side
    131.52x = 19,863.41
  5. Step 5: Solve for x
    x = 19,863.41/131.52
  6. Step 6: Final answer
    x = 151.03

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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.