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Finding the Fourth Proportional to 106.64, 147.04 and 82.02

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Solution

The fourth proportional to 106.64, 147.04 and 82.02 is: 113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.64 : 147.04 = 82.02 : x
  2. Step 2: Convert to fraction form
    106.64/147.04 = 82.02/x
  3. Step 3: Cross multiply
    106.64x = 147.04 × 82.02
  4. Step 4: Simplify right side
    106.64x = 12,060.22
  5. Step 5: Solve for x
    x = 12,060.22/106.64
  6. Step 6: Final answer
    x = 113.09

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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.