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Finding the Fourth Proportional to 45.34, 68.00 and 30.22

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Solution

The fourth proportional to 45.34, 68.00 and 30.22 is: 45.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.34 : 68.00 = 30.22 : x
  2. Step 2: Convert to fraction form
    45.34/68.00 = 30.22/x
  3. Step 3: Cross multiply
    45.34x = 68.00 × 30.22
  4. Step 4: Simplify right side
    45.34x = 2,054.64
  5. Step 5: Solve for x
    x = 2,054.64/45.34
  6. Step 6: Final answer
    x = 45.32

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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.