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Finding the Fourth Proportional to 117.94, 177.07 and 85.44

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Solution

The fourth proportional to 117.94, 177.07 and 85.44 is: 128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.94 : 177.07 = 85.44 : x
  2. Step 2: Convert to fraction form
    117.94/177.07 = 85.44/x
  3. Step 3: Cross multiply
    117.94x = 177.07 × 85.44
  4. Step 4: Simplify right side
    117.94x = 15,128.86
  5. Step 5: Solve for x
    x = 15,128.86/117.94
  6. Step 6: Final answer
    x = 128.28

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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.