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Finding the Fourth Proportional to 106.65, 147.33 and 82.38

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Solution

The fourth proportional to 106.65, 147.33 and 82.38 is: 113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.65 : 147.33 = 82.38 : x
  2. Step 2: Convert to fraction form
    106.65/147.33 = 82.38/x
  3. Step 3: Cross multiply
    106.65x = 147.33 × 82.38
  4. Step 4: Simplify right side
    106.65x = 12,137.05
  5. Step 5: Solve for x
    x = 12,137.05/106.65
  6. Step 6: Final answer
    x = 113.80

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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.