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Finding the Fourth Proportional to 106.12, 146.19 and 78.13

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Solution

The fourth proportional to 106.12, 146.19 and 78.13 is: 107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.12 : 146.19 = 78.13 : x
  2. Step 2: Convert to fraction form
    106.12/146.19 = 78.13/x
  3. Step 3: Cross multiply
    106.12x = 146.19 × 78.13
  4. Step 4: Simplify right side
    106.12x = 11,421.82
  5. Step 5: Solve for x
    x = 11,421.82/106.12
  6. Step 6: Final answer
    x = 107.63

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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.