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Finding the Fourth Proportional to 105.93, 158.64 and 67.35

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Solution

The fourth proportional to 105.93, 158.64 and 67.35 is: 100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.93 : 158.64 = 67.35 : x
  2. Step 2: Convert to fraction form
    105.93/158.64 = 67.35/x
  3. Step 3: Cross multiply
    105.93x = 158.64 × 67.35
  4. Step 4: Simplify right side
    105.93x = 10,684.40
  5. Step 5: Solve for x
    x = 10,684.40/105.93
  6. Step 6: Final answer
    x = 100.86

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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.