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Finding the Fourth Proportional to 105.84, 146 and 83.70

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Solution

The fourth proportional to 105.84, 146 and 83.70 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 146 = 83.70 : x
  2. Step 2: Convert to fraction form
    105.84/146 = 83.70/x
  3. Step 3: Cross multiply
    105.84x = 146 × 83.70
  4. Step 4: Simplify right side
    105.84x = 12,220.20
  5. Step 5: Solve for x
    x = 12,220.20/105.84
  6. Step 6: Final answer
    x = 115.46

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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.