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Finding the Fourth Proportional to 131.11, 180.53 and 94.20

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Solution

The fourth proportional to 131.11, 180.53 and 94.20 is: 129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.11 : 180.53 = 94.20 : x
  2. Step 2: Convert to fraction form
    131.11/180.53 = 94.20/x
  3. Step 3: Cross multiply
    131.11x = 180.53 × 94.20
  4. Step 4: Simplify right side
    131.11x = 17,005.13
  5. Step 5: Solve for x
    x = 17,005.13/131.11
  6. Step 6: Final answer
    x = 129.70

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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.