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Finding the Fourth Proportional to 107.39, 160.78 and 73.07

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Solution

The fourth proportional to 107.39, 160.78 and 73.07 is: 109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.39 : 160.78 = 73.07 : x
  2. Step 2: Convert to fraction form
    107.39/160.78 = 73.07/x
  3. Step 3: Cross multiply
    107.39x = 160.78 × 73.07
  4. Step 4: Simplify right side
    107.39x = 11,748.19
  5. Step 5: Solve for x
    x = 11,748.19/107.39
  6. Step 6: Final answer
    x = 109.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.