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Finding the Fourth Proportional to 117.89, 177.02 and 108.78

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Solution

The fourth proportional to 117.89, 177.02 and 108.78 is: 163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.89 : 177.02 = 108.78 : x
  2. Step 2: Convert to fraction form
    117.89/177.02 = 108.78/x
  3. Step 3: Cross multiply
    117.89x = 177.02 × 108.78
  4. Step 4: Simplify right side
    117.89x = 19,256.24
  5. Step 5: Solve for x
    x = 19,256.24/117.89
  6. Step 6: Final answer
    x = 163.34

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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.