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Finding the Fourth Proportional to 30.00, 44.97 and 14.77

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Solution

The fourth proportional to 30.00, 44.97 and 14.77 is: 22.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.00 : 44.97 = 14.77 : x
  2. Step 2: Convert to fraction form
    30.00/44.97 = 14.77/x
  3. Step 3: Cross multiply
    30.00x = 44.97 × 14.77
  4. Step 4: Simplify right side
    30.00x = 664.13
  5. Step 5: Solve for x
    x = 664.13/30.00
  6. Step 6: Final answer
    x = 22.14

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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.