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Finding the Fourth Proportional to 117.78, 175.49 and 109.50

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Solution

The fourth proportional to 117.78, 175.49 and 109.50 is: 163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.78 : 175.49 = 109.50 : x
  2. Step 2: Convert to fraction form
    117.78/175.49 = 109.50/x
  3. Step 3: Cross multiply
    117.78x = 175.49 × 109.50
  4. Step 4: Simplify right side
    117.78x = 19,215.61
  5. Step 5: Solve for x
    x = 19,215.61/117.78
  6. Step 6: Final answer
    x = 163.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.