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Finding the Fourth Proportional to 116.74, 161.08 and 87.58

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Solution

The fourth proportional to 116.74, 161.08 and 87.58 is: 120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.74 : 161.08 = 87.58 : x
  2. Step 2: Convert to fraction form
    116.74/161.08 = 87.58/x
  3. Step 3: Cross multiply
    116.74x = 161.08 × 87.58
  4. Step 4: Simplify right side
    116.74x = 14,107.39
  5. Step 5: Solve for x
    x = 14,107.39/116.74
  6. Step 6: Final answer
    x = 120.84

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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.