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Finding the Fourth Proportional to 106.65, 146.87 and 104.39

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Solution

The fourth proportional to 106.65, 146.87 and 104.39 is: 143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.65 : 146.87 = 104.39 : x
  2. Step 2: Convert to fraction form
    106.65/146.87 = 104.39/x
  3. Step 3: Cross multiply
    106.65x = 146.87 × 104.39
  4. Step 4: Simplify right side
    106.65x = 15,330.50
  5. Step 5: Solve for x
    x = 15,330.50/106.65
  6. Step 6: Final answer
    x = 143.75

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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.