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Finding the Fourth Proportional to 105.44, 157.40 and 89.24

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Solution

The fourth proportional to 105.44, 157.40 and 89.24 is: 133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.44 : 157.40 = 89.24 : x
  2. Step 2: Convert to fraction form
    105.44/157.40 = 89.24/x
  3. Step 3: Cross multiply
    105.44x = 157.40 × 89.24
  4. Step 4: Simplify right side
    105.44x = 14,046.38
  5. Step 5: Solve for x
    x = 14,046.38/105.44
  6. Step 6: Final answer
    x = 133.22

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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.