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Finding the Fourth Proportional to 30.02, 44.96 and 16.46

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Solution

The fourth proportional to 30.02, 44.96 and 16.46 is: 24.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.02 : 44.96 = 16.46 : x
  2. Step 2: Convert to fraction form
    30.02/44.96 = 16.46/x
  3. Step 3: Cross multiply
    30.02x = 44.96 × 16.46
  4. Step 4: Simplify right side
    30.02x = 740.04
  5. Step 5: Solve for x
    x = 740.04/30.02
  6. Step 6: Final answer
    x = 24.65

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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.