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Finding the Fourth Proportional to 131.01, 180.80 and 109.14

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Solution

The fourth proportional to 131.01, 180.80 and 109.14 is: 150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.01 : 180.80 = 109.14 : x
  2. Step 2: Convert to fraction form
    131.01/180.80 = 109.14/x
  3. Step 3: Cross multiply
    131.01x = 180.80 × 109.14
  4. Step 4: Simplify right side
    131.01x = 19,732.51
  5. Step 5: Solve for x
    x = 19,732.51/131.01
  6. Step 6: Final answer
    x = 150.62

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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.