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Finding the Fourth Proportional to 29.12, 40.21 and 24.32

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Solution

The fourth proportional to 29.12, 40.21 and 24.32 is: 33.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.12 : 40.21 = 24.32 : x
  2. Step 2: Convert to fraction form
    29.12/40.21 = 24.32/x
  3. Step 3: Cross multiply
    29.12x = 40.21 × 24.32
  4. Step 4: Simplify right side
    29.12x = 977.65
  5. Step 5: Solve for x
    x = 977.65/29.12
  6. Step 6: Final answer
    x = 33.58

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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.