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Finding the Fourth Proportional to 116.79, 175.16 and 35.61

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Solution

The fourth proportional to 116.79, 175.16 and 35.61 is: 53.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.79 : 175.16 = 35.61 : x
  2. Step 2: Convert to fraction form
    116.79/175.16 = 35.61/x
  3. Step 3: Cross multiply
    116.79x = 175.16 × 35.61
  4. Step 4: Simplify right side
    116.79x = 6,237.27
  5. Step 5: Solve for x
    x = 6,237.27/116.79
  6. Step 6: Final answer
    x = 53.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.