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Finding the Fourth Proportional to 105.47, 157.31 and 103.65

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Solution

The fourth proportional to 105.47, 157.31 and 103.65 is: 154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.47 : 157.31 = 103.65 : x
  2. Step 2: Convert to fraction form
    105.47/157.31 = 103.65/x
  3. Step 3: Cross multiply
    105.47x = 157.31 × 103.65
  4. Step 4: Simplify right side
    105.47x = 16,305.44
  5. Step 5: Solve for x
    x = 16,305.44/105.47
  6. Step 6: Final answer
    x = 154.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.