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Finding the Fourth Proportional to 117.13, 175.82 and 71.57

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Solution

The fourth proportional to 117.13, 175.82 and 71.57 is: 107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.13 : 175.82 = 71.57 : x
  2. Step 2: Convert to fraction form
    117.13/175.82 = 71.57/x
  3. Step 3: Cross multiply
    117.13x = 175.82 × 71.57
  4. Step 4: Simplify right side
    117.13x = 12,583.44
  5. Step 5: Solve for x
    x = 12,583.44/117.13
  6. Step 6: Final answer
    x = 107.43

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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.