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Finding the Fourth Proportional to 27.45, 41.16 and 13.00

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Solution

The fourth proportional to 27.45, 41.16 and 13.00 is: 19.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.45 : 41.16 = 13.00 : x
  2. Step 2: Convert to fraction form
    27.45/41.16 = 13.00/x
  3. Step 3: Cross multiply
    27.45x = 41.16 × 13.00
  4. Step 4: Simplify right side
    27.45x = 534.91
  5. Step 5: Solve for x
    x = 534.91/27.45
  6. Step 6: Final answer
    x = 19.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.