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Finding the Fourth Proportional to 111.14, 165.82 and 97.64

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Solution

The fourth proportional to 111.14, 165.82 and 97.64 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.14 : 165.82 = 97.64 : x
  2. Step 2: Convert to fraction form
    111.14/165.82 = 97.64/x
  3. Step 3: Cross multiply
    111.14x = 165.82 × 97.64
  4. Step 4: Simplify right side
    111.14x = 16,190.66
  5. Step 5: Solve for x
    x = 16,190.66/111.14
  6. Step 6: Final answer
    x = 145.68

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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.