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Finding the Fourth Proportional to 106.22, 146.57 and 59.58

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Solution

The fourth proportional to 106.22, 146.57 and 59.58 is: 82.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.22 : 146.57 = 59.58 : x
  2. Step 2: Convert to fraction form
    106.22/146.57 = 59.58/x
  3. Step 3: Cross multiply
    106.22x = 146.57 × 59.58
  4. Step 4: Simplify right side
    106.22x = 8,732.64
  5. Step 5: Solve for x
    x = 8,732.64/106.22
  6. Step 6: Final answer
    x = 82.21

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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.