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Finding the Fourth Proportional to 106.14, 146.36 and 81.53

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Solution

The fourth proportional to 106.14, 146.36 and 81.53 is: 112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.14 : 146.36 = 81.53 : x
  2. Step 2: Convert to fraction form
    106.14/146.36 = 81.53/x
  3. Step 3: Cross multiply
    106.14x = 146.36 × 81.53
  4. Step 4: Simplify right side
    106.14x = 11,931.59
  5. Step 5: Solve for x
    x = 11,931.59/106.14
  6. Step 6: Final answer
    x = 112.41

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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.