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Finding the Fourth Proportional to 107.30, 160.39 and 83

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Solution

The fourth proportional to 107.30, 160.39 and 83 is: 124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.30 : 160.39 = 83 : x
  2. Step 2: Convert to fraction form
    107.30/160.39 = 83/x
  3. Step 3: Cross multiply
    107.30x = 160.39 × 83
  4. Step 4: Simplify right side
    107.30x = 13,312.37
  5. Step 5: Solve for x
    x = 13,312.37/107.30
  6. Step 6: Final answer
    x = 124.07

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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.