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Finding the Fourth Proportional to 117.94, 162.68 and 81.10

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Solution

The fourth proportional to 117.94, 162.68 and 81.10 is: 111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.94 : 162.68 = 81.10 : x
  2. Step 2: Convert to fraction form
    117.94/162.68 = 81.10/x
  3. Step 3: Cross multiply
    117.94x = 162.68 × 81.10
  4. Step 4: Simplify right side
    117.94x = 13,193.35
  5. Step 5: Solve for x
    x = 13,193.35/117.94
  6. Step 6: Final answer
    x = 111.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.