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Finding the Fourth Proportional to 104.68, 157.02 and 27.65

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Solution

The fourth proportional to 104.68, 157.02 and 27.65 is: 41.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.68 : 157.02 = 27.65 : x
  2. Step 2: Convert to fraction form
    104.68/157.02 = 27.65/x
  3. Step 3: Cross multiply
    104.68x = 157.02 × 27.65
  4. Step 4: Simplify right side
    104.68x = 4,342.13
  5. Step 5: Solve for x
    x = 4,342.13/104.68
  6. Step 6: Final answer
    x = 41.48

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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.