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Finding the Fourth Proportional to 116.22, 173.31 and 102.57

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Solution

The fourth proportional to 116.22, 173.31 and 102.57 is: 152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.22 : 173.31 = 102.57 : x
  2. Step 2: Convert to fraction form
    116.22/173.31 = 102.57/x
  3. Step 3: Cross multiply
    116.22x = 173.31 × 102.57
  4. Step 4: Simplify right side
    116.22x = 17,776.41
  5. Step 5: Solve for x
    x = 17,776.41/116.22
  6. Step 6: Final answer
    x = 152.95

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Why These Related Problems?

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