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Finding the Fourth Proportional to 106.82, 147.49 and 67.53

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Solution

The fourth proportional to 106.82, 147.49 and 67.53 is: 93.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.82 : 147.49 = 67.53 : x
  2. Step 2: Convert to fraction form
    106.82/147.49 = 67.53/x
  3. Step 3: Cross multiply
    106.82x = 147.49 × 67.53
  4. Step 4: Simplify right side
    106.82x = 9,960.00
  5. Step 5: Solve for x
    x = 9,960.00/106.82
  6. Step 6: Final answer
    x = 93.24

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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.