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Finding the Fourth Proportional to 116.30, 173.49 and 102.80

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Solution

The fourth proportional to 116.30, 173.49 and 102.80 is: 153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.30 : 173.49 = 102.80 : x
  2. Step 2: Convert to fraction form
    116.30/173.49 = 102.80/x
  3. Step 3: Cross multiply
    116.30x = 173.49 × 102.80
  4. Step 4: Simplify right side
    116.30x = 17,834.77
  5. Step 5: Solve for x
    x = 17,834.77/116.30
  6. Step 6: Final answer
    x = 153.35

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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.