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Finding the Fourth Proportional to 107.09, 146.93 and 101.93

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Solution

The fourth proportional to 107.09, 146.93 and 101.93 is: 139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.09 : 146.93 = 101.93 : x
  2. Step 2: Convert to fraction form
    107.09/146.93 = 101.93/x
  3. Step 3: Cross multiply
    107.09x = 146.93 × 101.93
  4. Step 4: Simplify right side
    107.09x = 14,976.07
  5. Step 5: Solve for x
    x = 14,976.07/107.09
  6. Step 6: Final answer
    x = 139.85

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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.