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Finding the Fourth Proportional to 116.59, 174.74 and 61.73

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Solution

The fourth proportional to 116.59, 174.74 and 61.73 is: 92.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.59 : 174.74 = 61.73 : x
  2. Step 2: Convert to fraction form
    116.59/174.74 = 61.73/x
  3. Step 3: Cross multiply
    116.59x = 174.74 × 61.73
  4. Step 4: Simplify right side
    116.59x = 10,787.21
  5. Step 5: Solve for x
    x = 10,787.21/116.59
  6. Step 6: Final answer
    x = 92.52

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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.