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Finding the Fourth Proportional to 106.21, 146.58 and 69.47

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Solution

The fourth proportional to 106.21, 146.58 and 69.47 is: 95.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.21 : 146.58 = 69.47 : x
  2. Step 2: Convert to fraction form
    106.21/146.58 = 69.47/x
  3. Step 3: Cross multiply
    106.21x = 146.58 × 69.47
  4. Step 4: Simplify right side
    106.21x = 10,182.91
  5. Step 5: Solve for x
    x = 10,182.91/106.21
  6. Step 6: Final answer
    x = 95.87

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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.