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Finding the Fourth Proportional to 111.09, 165.69 and 97.47

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Solution

The fourth proportional to 111.09, 165.69 and 97.47 is: 145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.09 : 165.69 = 97.47 : x
  2. Step 2: Convert to fraction form
    111.09/165.69 = 97.47/x
  3. Step 3: Cross multiply
    111.09x = 165.69 × 97.47
  4. Step 4: Simplify right side
    111.09x = 16,149.80
  5. Step 5: Solve for x
    x = 16,149.80/111.09
  6. Step 6: Final answer
    x = 145.38

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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.