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Finding the Fourth Proportional to 118.40, 178.48 and 110.40

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Solution

The fourth proportional to 118.40, 178.48 and 110.40 is: 166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.40 : 178.48 = 110.40 : x
  2. Step 2: Convert to fraction form
    118.40/178.48 = 110.40/x
  3. Step 3: Cross multiply
    118.40x = 178.48 × 110.40
  4. Step 4: Simplify right side
    118.40x = 19,704.19
  5. Step 5: Solve for x
    x = 19,704.19/118.40
  6. Step 6: Final answer
    x = 166.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.