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Finding the Fourth Proportional to 97.44, 146.16 and 40.44

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Solution

The fourth proportional to 97.44, 146.16 and 40.44 is: 60.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.44 : 146.16 = 40.44 : x
  2. Step 2: Convert to fraction form
    97.44/146.16 = 40.44/x
  3. Step 3: Cross multiply
    97.44x = 146.16 × 40.44
  4. Step 4: Simplify right side
    97.44x = 5,910.51
  5. Step 5: Solve for x
    x = 5,910.51/97.44
  6. Step 6: Final answer
    x = 60.66

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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.