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Finding the Fourth Proportional to 116.72, 173.86 and 103.76

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Solution

The fourth proportional to 116.72, 173.86 and 103.76 is: 154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.72 : 173.86 = 103.76 : x
  2. Step 2: Convert to fraction form
    116.72/173.86 = 103.76/x
  3. Step 3: Cross multiply
    116.72x = 173.86 × 103.76
  4. Step 4: Simplify right side
    116.72x = 18,039.71
  5. Step 5: Solve for x
    x = 18,039.71/116.72
  6. Step 6: Final answer
    x = 154.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.