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Finding the Fourth Proportional to 106.03, 146.19 and 78.35

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Solution

The fourth proportional to 106.03, 146.19 and 78.35 is: 108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.03 : 146.19 = 78.35 : x
  2. Step 2: Convert to fraction form
    106.03/146.19 = 78.35/x
  3. Step 3: Cross multiply
    106.03x = 146.19 × 78.35
  4. Step 4: Simplify right side
    106.03x = 11,454.24
  5. Step 5: Solve for x
    x = 11,454.24/106.03
  6. Step 6: Final answer
    x = 108.03

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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.