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Finding the Fourth Proportional to 131.08, 180.62 and 96.06

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Solution

The fourth proportional to 131.08, 180.62 and 96.06 is: 132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.08 : 180.62 = 96.06 : x
  2. Step 2: Convert to fraction form
    131.08/180.62 = 96.06/x
  3. Step 3: Cross multiply
    131.08x = 180.62 × 96.06
  4. Step 4: Simplify right side
    131.08x = 17,350.36
  5. Step 5: Solve for x
    x = 17,350.36/131.08
  6. Step 6: Final answer
    x = 132.36

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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.