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Finding the Fourth Proportional to 131.10, 180.45 and 92.22

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Solution

The fourth proportional to 131.10, 180.45 and 92.22 is: 126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.10 : 180.45 = 92.22 : x
  2. Step 2: Convert to fraction form
    131.10/180.45 = 92.22/x
  3. Step 3: Cross multiply
    131.10x = 180.45 × 92.22
  4. Step 4: Simplify right side
    131.10x = 16,641.10
  5. Step 5: Solve for x
    x = 16,641.10/131.10
  6. Step 6: Final answer
    x = 126.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.