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Finding the Fourth Proportional to 117.09, 175.59 and 35.91

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Solution

The fourth proportional to 117.09, 175.59 and 35.91 is: 53.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.09 : 175.59 = 35.91 : x
  2. Step 2: Convert to fraction form
    117.09/175.59 = 35.91/x
  3. Step 3: Cross multiply
    117.09x = 175.59 × 35.91
  4. Step 4: Simplify right side
    117.09x = 6,305.44
  5. Step 5: Solve for x
    x = 6,305.44/117.09
  6. Step 6: Final answer
    x = 53.85

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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.