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Finding the Fourth Proportional to 29.08, 40.12 and 22.54

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Solution

The fourth proportional to 29.08, 40.12 and 22.54 is: 31.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.08 : 40.12 = 22.54 : x
  2. Step 2: Convert to fraction form
    29.08/40.12 = 22.54/x
  3. Step 3: Cross multiply
    29.08x = 40.12 × 22.54
  4. Step 4: Simplify right side
    29.08x = 904.30
  5. Step 5: Solve for x
    x = 904.30/29.08
  6. Step 6: Final answer
    x = 31.10

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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.