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Finding the Fourth Proportional to 107.10, 146.85 and 96.70

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Solution

The fourth proportional to 107.10, 146.85 and 96.70 is: 132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.10 : 146.85 = 96.70 : x
  2. Step 2: Convert to fraction form
    107.10/146.85 = 96.70/x
  3. Step 3: Cross multiply
    107.10x = 146.85 × 96.70
  4. Step 4: Simplify right side
    107.10x = 14,200.40
  5. Step 5: Solve for x
    x = 14,200.40/107.10
  6. Step 6: Final answer
    x = 132.59

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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.