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Finding the Fourth Proportional to 110.25, 165.02 and 97.47

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Solution

The fourth proportional to 110.25, 165.02 and 97.47 is: 145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 165.02 = 97.47 : x
  2. Step 2: Convert to fraction form
    110.25/165.02 = 97.47/x
  3. Step 3: Cross multiply
    110.25x = 165.02 × 97.47
  4. Step 4: Simplify right side
    110.25x = 16,084.01
  5. Step 5: Solve for x
    x = 16,084.01/110.25
  6. Step 6: Final answer
    x = 145.89

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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.