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Finding the Fourth Proportional to 106.23, 146.44 and 75.18

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Solution

The fourth proportional to 106.23, 146.44 and 75.18 is: 103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.23 : 146.44 = 75.18 : x
  2. Step 2: Convert to fraction form
    106.23/146.44 = 75.18/x
  3. Step 3: Cross multiply
    106.23x = 146.44 × 75.18
  4. Step 4: Simplify right side
    106.23x = 11,009.36
  5. Step 5: Solve for x
    x = 11,009.36/106.23
  6. Step 6: Final answer
    x = 103.64

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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.