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Finding the Fourth Proportional to 106.23, 146.34 and 78.52

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Solution

The fourth proportional to 106.23, 146.34 and 78.52 is: 108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.23 : 146.34 = 78.52 : x
  2. Step 2: Convert to fraction form
    106.23/146.34 = 78.52/x
  3. Step 3: Cross multiply
    106.23x = 146.34 × 78.52
  4. Step 4: Simplify right side
    106.23x = 11,490.62
  5. Step 5: Solve for x
    x = 11,490.62/106.23
  6. Step 6: Final answer
    x = 108.17

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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.