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Finding the Fourth Proportional to 105.84, 146.04 and 59.22

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Solution

The fourth proportional to 105.84, 146.04 and 59.22 is: 81.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 146.04 = 59.22 : x
  2. Step 2: Convert to fraction form
    105.84/146.04 = 59.22/x
  3. Step 3: Cross multiply
    105.84x = 146.04 × 59.22
  4. Step 4: Simplify right side
    105.84x = 8,648.49
  5. Step 5: Solve for x
    x = 8,648.49/105.84
  6. Step 6: Final answer
    x = 81.71

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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.