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Finding the Fourth Proportional to 107.22, 159.95 and 102.33

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Solution

The fourth proportional to 107.22, 159.95 and 102.33 is: 152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.22 : 159.95 = 102.33 : x
  2. Step 2: Convert to fraction form
    107.22/159.95 = 102.33/x
  3. Step 3: Cross multiply
    107.22x = 159.95 × 102.33
  4. Step 4: Simplify right side
    107.22x = 16,367.68
  5. Step 5: Solve for x
    x = 16,367.68/107.22
  6. Step 6: Final answer
    x = 152.66

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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.