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Finding the Fourth Proportional to 117.63, 176.28 and 112.61

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Solution

The fourth proportional to 117.63, 176.28 and 112.61 is: 168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.63 : 176.28 = 112.61 : x
  2. Step 2: Convert to fraction form
    117.63/176.28 = 112.61/x
  3. Step 3: Cross multiply
    117.63x = 176.28 × 112.61
  4. Step 4: Simplify right side
    117.63x = 19,850.01
  5. Step 5: Solve for x
    x = 19,850.01/117.63
  6. Step 6: Final answer
    x = 168.75

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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.