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Finding the Fourth Proportional to 110.84, 165.44 and 98.82

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Solution

The fourth proportional to 110.84, 165.44 and 98.82 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.84 : 165.44 = 98.82 : x
  2. Step 2: Convert to fraction form
    110.84/165.44 = 98.82/x
  3. Step 3: Cross multiply
    110.84x = 165.44 × 98.82
  4. Step 4: Simplify right side
    110.84x = 16,349.03
  5. Step 5: Solve for x
    x = 16,349.03/110.84
  6. Step 6: Final answer
    x = 147.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.