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Finding the Fourth Proportional to 107.19, 146.79 and 106.56

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Solution

The fourth proportional to 107.19, 146.79 and 106.56 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.19 : 146.79 = 106.56 : x
  2. Step 2: Convert to fraction form
    107.19/146.79 = 106.56/x
  3. Step 3: Cross multiply
    107.19x = 146.79 × 106.56
  4. Step 4: Simplify right side
    107.19x = 15,641.94
  5. Step 5: Solve for x
    x = 15,641.94/107.19
  6. Step 6: Final answer
    x = 145.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.