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Finding the Fourth Proportional to 106.01, 146.36 and 73.44

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Solution

The fourth proportional to 106.01, 146.36 and 73.44 is: 101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.01 : 146.36 = 73.44 : x
  2. Step 2: Convert to fraction form
    106.01/146.36 = 73.44/x
  3. Step 3: Cross multiply
    106.01x = 146.36 × 73.44
  4. Step 4: Simplify right side
    106.01x = 10,748.31
  5. Step 5: Solve for x
    x = 10,748.31/106.01
  6. Step 6: Final answer
    x = 101.39

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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.