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Finding the Fourth Proportional to 107.63, 160.19 and 105.06

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Solution

The fourth proportional to 107.63, 160.19 and 105.06 is: 156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.63 : 160.19 = 105.06 : x
  2. Step 2: Convert to fraction form
    107.63/160.19 = 105.06/x
  3. Step 3: Cross multiply
    107.63x = 160.19 × 105.06
  4. Step 4: Simplify right side
    107.63x = 16,829.04
  5. Step 5: Solve for x
    x = 16,829.04/107.63
  6. Step 6: Final answer
    x = 156.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.