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Finding the Fourth Proportional to 107.05, 160.55 and 30.00

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Solution

The fourth proportional to 107.05, 160.55 and 30.00 is: 44.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.05 : 160.55 = 30.00 : x
  2. Step 2: Convert to fraction form
    107.05/160.55 = 30.00/x
  3. Step 3: Cross multiply
    107.05x = 160.55 × 30.00
  4. Step 4: Simplify right side
    107.05x = 4,816.12
  5. Step 5: Solve for x
    x = 4,816.12/107.05
  6. Step 6: Final answer
    x = 44.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.