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Finding the Fourth Proportional to 116.22, 174.36 and 39.15

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Solution

The fourth proportional to 116.22, 174.36 and 39.15 is: 58.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.22 : 174.36 = 39.15 : x
  2. Step 2: Convert to fraction form
    116.22/174.36 = 39.15/x
  3. Step 3: Cross multiply
    116.22x = 174.36 × 39.15
  4. Step 4: Simplify right side
    116.22x = 6,826.19
  5. Step 5: Solve for x
    x = 6,826.19/116.22
  6. Step 6: Final answer
    x = 58.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.