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Finding the Fourth Proportional to 105.85, 146.14 and 70.93

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Solution

The fourth proportional to 105.85, 146.14 and 70.93 is: 97.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.85 : 146.14 = 70.93 : x
  2. Step 2: Convert to fraction form
    105.85/146.14 = 70.93/x
  3. Step 3: Cross multiply
    105.85x = 146.14 × 70.93
  4. Step 4: Simplify right side
    105.85x = 10,365.71
  5. Step 5: Solve for x
    x = 10,365.71/105.85
  6. Step 6: Final answer
    x = 97.93

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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.