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Finding the Fourth Proportional to 105.74, 146.10 and 84.08

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Solution

The fourth proportional to 105.74, 146.10 and 84.08 is: 116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.74 : 146.10 = 84.08 : x
  2. Step 2: Convert to fraction form
    105.74/146.10 = 84.08/x
  3. Step 3: Cross multiply
    105.74x = 146.10 × 84.08
  4. Step 4: Simplify right side
    105.74x = 12,283.36
  5. Step 5: Solve for x
    x = 12,283.36/105.74
  6. Step 6: Final answer
    x = 116.17

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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.