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Finding the Fourth Proportional to 107.33, 159.94 and 102.09

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Solution

The fourth proportional to 107.33, 159.94 and 102.09 is: 152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.33 : 159.94 = 102.09 : x
  2. Step 2: Convert to fraction form
    107.33/159.94 = 102.09/x
  3. Step 3: Cross multiply
    107.33x = 159.94 × 102.09
  4. Step 4: Simplify right side
    107.33x = 16,329.00
  5. Step 5: Solve for x
    x = 16,329.00/107.33
  6. Step 6: Final answer
    x = 152.15

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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.