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Finding the Fourth Proportional to 105.67, 158.46 and 71.46

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Solution

The fourth proportional to 105.67, 158.46 and 71.46 is: 107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.67 : 158.46 = 71.46 : x
  2. Step 2: Convert to fraction form
    105.67/158.46 = 71.46/x
  3. Step 3: Cross multiply
    105.67x = 158.46 × 71.46
  4. Step 4: Simplify right side
    105.67x = 11,323.55
  5. Step 5: Solve for x
    x = 11,323.55/105.67
  6. Step 6: Final answer
    x = 107.16

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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.