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Finding the Fourth Proportional to 107.00, 147.46 and 82.47

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Solution

The fourth proportional to 107.00, 147.46 and 82.47 is: 113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.00 : 147.46 = 82.47 : x
  2. Step 2: Convert to fraction form
    107.00/147.46 = 82.47/x
  3. Step 3: Cross multiply
    107.00x = 147.46 × 82.47
  4. Step 4: Simplify right side
    107.00x = 12,160.29
  5. Step 5: Solve for x
    x = 12,160.29/107.00
  6. Step 6: Final answer
    x = 113.65

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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.