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Finding the Fourth Proportional to 106.36, 146.81 and 73.55

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Solution

The fourth proportional to 106.36, 146.81 and 73.55 is: 101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.36 : 146.81 = 73.55 : x
  2. Step 2: Convert to fraction form
    106.36/146.81 = 73.55/x
  3. Step 3: Cross multiply
    106.36x = 146.81 × 73.55
  4. Step 4: Simplify right side
    106.36x = 10,798.43
  5. Step 5: Solve for x
    x = 10,798.43/106.36
  6. Step 6: Final answer
    x = 101.53

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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.