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Finding the Fourth Proportional to 106.58, 146.75 and 94.28

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Solution

The fourth proportional to 106.58, 146.75 and 94.28 is: 129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.58 : 146.75 = 94.28 : x
  2. Step 2: Convert to fraction form
    106.58/146.75 = 94.28/x
  3. Step 3: Cross multiply
    106.58x = 146.75 × 94.28
  4. Step 4: Simplify right side
    106.58x = 13,834.99
  5. Step 5: Solve for x
    x = 13,834.99/106.58
  6. Step 6: Final answer
    x = 129.81

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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.