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Finding the Fourth Proportional to 116.91, 175.29 and 35.71

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Solution

The fourth proportional to 116.91, 175.29 and 35.71 is: 53.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.91 : 175.29 = 35.71 : x
  2. Step 2: Convert to fraction form
    116.91/175.29 = 35.71/x
  3. Step 3: Cross multiply
    116.91x = 175.29 × 35.71
  4. Step 4: Simplify right side
    116.91x = 6,259.69
  5. Step 5: Solve for x
    x = 6,259.69/116.91
  6. Step 6: Final answer
    x = 53.54

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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.