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Finding the Fourth Proportional to 95.64, 131.76 and 84.60

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Solution

The fourth proportional to 95.64, 131.76 and 84.60 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.64 : 131.76 = 84.60 : x
  2. Step 2: Convert to fraction form
    95.64/131.76 = 84.60/x
  3. Step 3: Cross multiply
    95.64x = 131.76 × 84.60
  4. Step 4: Simplify right side
    95.64x = 11,146.90
  5. Step 5: Solve for x
    x = 11,146.90/95.64
  6. Step 6: Final answer
    x = 116.55

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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.