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Finding the Fourth Proportional to 117.12, 161.12 and 95.12

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Solution

The fourth proportional to 117.12, 161.12 and 95.12 is: 130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.12 : 161.12 = 95.12 : x
  2. Step 2: Convert to fraction form
    117.12/161.12 = 95.12/x
  3. Step 3: Cross multiply
    117.12x = 161.12 × 95.12
  4. Step 4: Simplify right side
    117.12x = 15,325.73
  5. Step 5: Solve for x
    x = 15,325.73/117.12
  6. Step 6: Final answer
    x = 130.85

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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.