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Finding the Fourth Proportional to 30.30, 45.37 and 16.02

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Solution

The fourth proportional to 30.30, 45.37 and 16.02 is: 23.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.30 : 45.37 = 16.02 : x
  2. Step 2: Convert to fraction form
    30.30/45.37 = 16.02/x
  3. Step 3: Cross multiply
    30.30x = 45.37 × 16.02
  4. Step 4: Simplify right side
    30.30x = 726.83
  5. Step 5: Solve for x
    x = 726.83/30.30
  6. Step 6: Final answer
    x = 23.99

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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.