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Finding the Fourth Proportional to 130.96, 180.77 and 84.41

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Solution

The fourth proportional to 130.96, 180.77 and 84.41 is: 116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.96 : 180.77 = 84.41 : x
  2. Step 2: Convert to fraction form
    130.96/180.77 = 84.41/x
  3. Step 3: Cross multiply
    130.96x = 180.77 × 84.41
  4. Step 4: Simplify right side
    130.96x = 15,258.15
  5. Step 5: Solve for x
    x = 15,258.15/130.96
  6. Step 6: Final answer
    x = 116.51

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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.