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Finding the Fourth Proportional to 110.98, 152.97 and 78.19

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Solution

The fourth proportional to 110.98, 152.97 and 78.19 is: 107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.98 : 152.97 = 78.19 : x
  2. Step 2: Convert to fraction form
    110.98/152.97 = 78.19/x
  3. Step 3: Cross multiply
    110.98x = 152.97 × 78.19
  4. Step 4: Simplify right side
    110.98x = 11,960.72
  5. Step 5: Solve for x
    x = 11,960.72/110.98
  6. Step 6: Final answer
    x = 107.77

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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.