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Finding the Fourth Proportional to 116.36, 173.72 and 102.41

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Solution

The fourth proportional to 116.36, 173.72 and 102.41 is: 152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.36 : 173.72 = 102.41 : x
  2. Step 2: Convert to fraction form
    116.36/173.72 = 102.41/x
  3. Step 3: Cross multiply
    116.36x = 173.72 × 102.41
  4. Step 4: Simplify right side
    116.36x = 17,790.67
  5. Step 5: Solve for x
    x = 17,790.67/116.36
  6. Step 6: Final answer
    x = 152.89

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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.