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Finding the Fourth Proportional to 131.62, 181.75 and 109.52

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Solution

The fourth proportional to 131.62, 181.75 and 109.52 is: 151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.62 : 181.75 = 109.52 : x
  2. Step 2: Convert to fraction form
    131.62/181.75 = 109.52/x
  3. Step 3: Cross multiply
    131.62x = 181.75 × 109.52
  4. Step 4: Simplify right side
    131.62x = 19,905.26
  5. Step 5: Solve for x
    x = 19,905.26/131.62
  6. Step 6: Final answer
    x = 151.24

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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.