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Finding the Fourth Proportional to 27.65, 41.48 and 7.36

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Solution

The fourth proportional to 27.65, 41.48 and 7.36 is: 11.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.65 : 41.48 = 7.36 : x
  2. Step 2: Convert to fraction form
    27.65/41.48 = 7.36/x
  3. Step 3: Cross multiply
    27.65x = 41.48 × 7.36
  4. Step 4: Simplify right side
    27.65x = 305.44
  5. Step 5: Solve for x
    x = 305.44/27.65
  6. Step 6: Final answer
    x = 11.05

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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.