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Finding the Fourth Proportional to 30.38, 45.51 and 20.07

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Solution

The fourth proportional to 30.38, 45.51 and 20.07 is: 30.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.38 : 45.51 = 20.07 : x
  2. Step 2: Convert to fraction form
    30.38/45.51 = 20.07/x
  3. Step 3: Cross multiply
    30.38x = 45.51 × 20.07
  4. Step 4: Simplify right side
    30.38x = 913.55
  5. Step 5: Solve for x
    x = 913.55/30.38
  6. Step 6: Final answer
    x = 30.08

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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.