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Finding the Fourth Proportional to 117.43, 175.97 and 68.63

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Solution

The fourth proportional to 117.43, 175.97 and 68.63 is: 102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.43 : 175.97 = 68.63 : x
  2. Step 2: Convert to fraction form
    117.43/175.97 = 68.63/x
  3. Step 3: Cross multiply
    117.43x = 175.97 × 68.63
  4. Step 4: Simplify right side
    117.43x = 12,076.11
  5. Step 5: Solve for x
    x = 12,076.11/117.43
  6. Step 6: Final answer
    x = 102.84

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