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Finding the Fourth Proportional to 29.54, 40.74 and 28.28

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Solution

The fourth proportional to 29.54, 40.74 and 28.28 is: 39.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.54 : 40.74 = 28.28 : x
  2. Step 2: Convert to fraction form
    29.54/40.74 = 28.28/x
  3. Step 3: Cross multiply
    29.54x = 40.74 × 28.28
  4. Step 4: Simplify right side
    29.54x = 1,152.13
  5. Step 5: Solve for x
    x = 1,152.13/29.54
  6. Step 6: Final answer
    x = 39.00

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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.