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Finding the Fourth Proportional to 107.83, 149.14 and 106.01

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Solution

The fourth proportional to 107.83, 149.14 and 106.01 is: 146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.83 : 149.14 = 106.01 : x
  2. Step 2: Convert to fraction form
    107.83/149.14 = 106.01/x
  3. Step 3: Cross multiply
    107.83x = 149.14 × 106.01
  4. Step 4: Simplify right side
    107.83x = 15,810.28
  5. Step 5: Solve for x
    x = 15,810.28/107.83
  6. Step 6: Final answer
    x = 146.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.