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Finding the Fourth Proportional to 30.68, 45.93 and 24.22

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Solution

The fourth proportional to 30.68, 45.93 and 24.22 is: 36.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.68 : 45.93 = 24.22 : x
  2. Step 2: Convert to fraction form
    30.68/45.93 = 24.22/x
  3. Step 3: Cross multiply
    30.68x = 45.93 × 24.22
  4. Step 4: Simplify right side
    30.68x = 1,112.42
  5. Step 5: Solve for x
    x = 1,112.42/30.68
  6. Step 6: Final answer
    x = 36.26

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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.