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Finding the Fourth Proportional to 105.80, 146.34 and 102.20

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Solution

The fourth proportional to 105.80, 146.34 and 102.20 is: 141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.80 : 146.34 = 102.20 : x
  2. Step 2: Convert to fraction form
    105.80/146.34 = 102.20/x
  3. Step 3: Cross multiply
    105.80x = 146.34 × 102.20
  4. Step 4: Simplify right side
    105.80x = 14,955.95
  5. Step 5: Solve for x
    x = 14,955.95/105.80
  6. Step 6: Final answer
    x = 141.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.