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Finding the Fourth Proportional to 111.04, 165.73 and 104.96

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Solution

The fourth proportional to 111.04, 165.73 and 104.96 is: 156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.04 : 165.73 = 104.96 : x
  2. Step 2: Convert to fraction form
    111.04/165.73 = 104.96/x
  3. Step 3: Cross multiply
    111.04x = 165.73 × 104.96
  4. Step 4: Simplify right side
    111.04x = 17,395.37
  5. Step 5: Solve for x
    x = 17,395.37/111.04
  6. Step 6: Final answer
    x = 156.66

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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.