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Finding the Fourth Proportional to 117.40, 176.18 and 110.22

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Solution

The fourth proportional to 117.40, 176.18 and 110.22 is: 165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.40 : 176.18 = 110.22 : x
  2. Step 2: Convert to fraction form
    117.40/176.18 = 110.22/x
  3. Step 3: Cross multiply
    117.40x = 176.18 × 110.22
  4. Step 4: Simplify right side
    117.40x = 19,418.56
  5. Step 5: Solve for x
    x = 19,418.56/117.40
  6. Step 6: Final answer
    x = 165.41

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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.