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Finding the Fourth Proportional to 107.16, 146.94 and 105.72

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Solution

The fourth proportional to 107.16, 146.94 and 105.72 is: 144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.16 : 146.94 = 105.72 : x
  2. Step 2: Convert to fraction form
    107.16/146.94 = 105.72/x
  3. Step 3: Cross multiply
    107.16x = 146.94 × 105.72
  4. Step 4: Simplify right side
    107.16x = 15,534.50
  5. Step 5: Solve for x
    x = 15,534.50/107.16
  6. Step 6: Final answer
    x = 144.97

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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.