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Finding the Fourth Proportional to 29.58, 40.84 and 22.34

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Solution

The fourth proportional to 29.58, 40.84 and 22.34 is: 30.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.58 : 40.84 = 22.34 : x
  2. Step 2: Convert to fraction form
    29.58/40.84 = 22.34/x
  3. Step 3: Cross multiply
    29.58x = 40.84 × 22.34
  4. Step 4: Simplify right side
    29.58x = 912.37
  5. Step 5: Solve for x
    x = 912.37/29.58
  6. Step 6: Final answer
    x = 30.84

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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.