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Finding the Fourth Proportional to 117.05, 175.41 and 77.95

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Solution

The fourth proportional to 117.05, 175.41 and 77.95 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.05 : 175.41 = 77.95 : x
  2. Step 2: Convert to fraction form
    117.05/175.41 = 77.95/x
  3. Step 3: Cross multiply
    117.05x = 175.41 × 77.95
  4. Step 4: Simplify right side
    117.05x = 13,673.21
  5. Step 5: Solve for x
    x = 13,673.21/117.05
  6. Step 6: Final answer
    x = 116.82

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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.