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Finding the Fourth Proportional to 107.30, 146.79 and 106.84

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Solution

The fourth proportional to 107.30, 146.79 and 106.84 is: 146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.30 : 146.79 = 106.84 : x
  2. Step 2: Convert to fraction form
    107.30/146.79 = 106.84/x
  3. Step 3: Cross multiply
    107.30x = 146.79 × 106.84
  4. Step 4: Simplify right side
    107.30x = 15,683.04
  5. Step 5: Solve for x
    x = 15,683.04/107.30
  6. Step 6: Final answer
    x = 146.16

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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.