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Finding the Fourth Proportional to 116.75, 176.19 and 116.04

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Solution

The fourth proportional to 116.75, 176.19 and 116.04 is: 175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 176.19 = 116.04 : x
  2. Step 2: Convert to fraction form
    116.75/176.19 = 116.04/x
  3. Step 3: Cross multiply
    116.75x = 176.19 × 116.04
  4. Step 4: Simplify right side
    116.75x = 20,445.09
  5. Step 5: Solve for x
    x = 20,445.09/116.75
  6. Step 6: Final answer
    x = 175.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.