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Finding the Fourth Proportional to 106, 146.08 and 76.44

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Solution

The fourth proportional to 106, 146.08 and 76.44 is: 105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 146.08 = 76.44 : x
  2. Step 2: Convert to fraction form
    106/146.08 = 76.44/x
  3. Step 3: Cross multiply
    106x = 146.08 × 76.44
  4. Step 4: Simplify right side
    106x = 11,166.36
  5. Step 5: Solve for x
    x = 11,166.36/106
  6. Step 6: Final answer
    x = 105.34

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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.