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Finding the Fourth Proportional to 110.94, 152.09 and 108.98

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Solution

The fourth proportional to 110.94, 152.09 and 108.98 is: 149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.94 : 152.09 = 108.98 : x
  2. Step 2: Convert to fraction form
    110.94/152.09 = 108.98/x
  3. Step 3: Cross multiply
    110.94x = 152.09 × 108.98
  4. Step 4: Simplify right side
    110.94x = 16,574.77
  5. Step 5: Solve for x
    x = 16,574.77/110.94
  6. Step 6: Final answer
    x = 149.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.