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Finding the Fourth Proportional to 106.53, 147.09 and 82.16

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Solution

The fourth proportional to 106.53, 147.09 and 82.16 is: 113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.53 : 147.09 = 82.16 : x
  2. Step 2: Convert to fraction form
    106.53/147.09 = 82.16/x
  3. Step 3: Cross multiply
    106.53x = 147.09 × 82.16
  4. Step 4: Simplify right side
    106.53x = 12,084.91
  5. Step 5: Solve for x
    x = 12,084.91/106.53
  6. Step 6: Final answer
    x = 113.44

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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.