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Finding the Fourth Proportional to 107.19, 159.65 and 103.59

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Solution

The fourth proportional to 107.19, 159.65 and 103.59 is: 154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.19 : 159.65 = 103.59 : x
  2. Step 2: Convert to fraction form
    107.19/159.65 = 103.59/x
  3. Step 3: Cross multiply
    107.19x = 159.65 × 103.59
  4. Step 4: Simplify right side
    107.19x = 16,537.63
  5. Step 5: Solve for x
    x = 16,537.63/107.19
  6. Step 6: Final answer
    x = 154.28

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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.