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Finding the Fourth Proportional to 117.91, 177.14 and 77.41

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Solution

The fourth proportional to 117.91, 177.14 and 77.41 is: 116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.91 : 177.14 = 77.41 : x
  2. Step 2: Convert to fraction form
    117.91/177.14 = 77.41/x
  3. Step 3: Cross multiply
    117.91x = 177.14 × 77.41
  4. Step 4: Simplify right side
    117.91x = 13,712.41
  5. Step 5: Solve for x
    x = 13,712.41/117.91
  6. Step 6: Final answer
    x = 116.30

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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.