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Finding the Fourth Proportional to 106.83, 147.41 and 67.51

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Solution

The fourth proportional to 106.83, 147.41 and 67.51 is: 93.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.83 : 147.41 = 67.51 : x
  2. Step 2: Convert to fraction form
    106.83/147.41 = 67.51/x
  3. Step 3: Cross multiply
    106.83x = 147.41 × 67.51
  4. Step 4: Simplify right side
    106.83x = 9,951.65
  5. Step 5: Solve for x
    x = 9,951.65/106.83
  6. Step 6: Final answer
    x = 93.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.