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Finding the Fourth Proportional to 117.29, 175.92 and 36.12

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Solution

The fourth proportional to 117.29, 175.92 and 36.12 is: 54.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.29 : 175.92 = 36.12 : x
  2. Step 2: Convert to fraction form
    117.29/175.92 = 36.12/x
  3. Step 3: Cross multiply
    117.29x = 175.92 × 36.12
  4. Step 4: Simplify right side
    117.29x = 6,354.23
  5. Step 5: Solve for x
    x = 6,354.23/117.29
  6. Step 6: Final answer
    x = 54.18

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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.