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Finding the Fourth Proportional to 30.81, 45.91 and 30.27

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Solution

The fourth proportional to 30.81, 45.91 and 30.27 is: 45.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.81 : 45.91 = 30.27 : x
  2. Step 2: Convert to fraction form
    30.81/45.91 = 30.27/x
  3. Step 3: Cross multiply
    30.81x = 45.91 × 30.27
  4. Step 4: Simplify right side
    30.81x = 1,389.62
  5. Step 5: Solve for x
    x = 1,389.62/30.81
  6. Step 6: Final answer
    x = 45.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.