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Finding the Fourth Proportional to 105.67, 146.51 and 102.30

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Solution

The fourth proportional to 105.67, 146.51 and 102.30 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.67 : 146.51 = 102.30 : x
  2. Step 2: Convert to fraction form
    105.67/146.51 = 102.30/x
  3. Step 3: Cross multiply
    105.67x = 146.51 × 102.30
  4. Step 4: Simplify right side
    105.67x = 14,987.97
  5. Step 5: Solve for x
    x = 14,987.97/105.67
  6. Step 6: Final answer
    x = 141.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.