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Finding the Fourth Proportional to 29.32, 40.49 and 22.84

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Solution

The fourth proportional to 29.32, 40.49 and 22.84 is: 31.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.32 : 40.49 = 22.84 : x
  2. Step 2: Convert to fraction form
    29.32/40.49 = 22.84/x
  3. Step 3: Cross multiply
    29.32x = 40.49 × 22.84
  4. Step 4: Simplify right side
    29.32x = 924.79
  5. Step 5: Solve for x
    x = 924.79/29.32
  6. Step 6: Final answer
    x = 31.54

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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.