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Finding the Fourth Proportional to 30.66, 42.30 and 18.37

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Solution

The fourth proportional to 30.66, 42.30 and 18.37 is: 25.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.66 : 42.30 = 18.37 : x
  2. Step 2: Convert to fraction form
    30.66/42.30 = 18.37/x
  3. Step 3: Cross multiply
    30.66x = 42.30 × 18.37
  4. Step 4: Simplify right side
    30.66x = 777.05
  5. Step 5: Solve for x
    x = 777.05/30.66
  6. Step 6: Final answer
    x = 25.34

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1.5x scale

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.