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Finding the Fourth Proportional to 116.60, 160.78 and 100.05

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Solution

The fourth proportional to 116.60, 160.78 and 100.05 is: 137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.60 : 160.78 = 100.05 : x
  2. Step 2: Convert to fraction form
    116.60/160.78 = 100.05/x
  3. Step 3: Cross multiply
    116.60x = 160.78 × 100.05
  4. Step 4: Simplify right side
    116.60x = 16,086.04
  5. Step 5: Solve for x
    x = 16,086.04/116.60
  6. Step 6: Final answer
    x = 137.96

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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.