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Finding the Fourth Proportional to 105.36, 157.16 and 89.97

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Solution

The fourth proportional to 105.36, 157.16 and 89.97 is: 134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.36 : 157.16 = 89.97 : x
  2. Step 2: Convert to fraction form
    105.36/157.16 = 89.97/x
  3. Step 3: Cross multiply
    105.36x = 157.16 × 89.97
  4. Step 4: Simplify right side
    105.36x = 14,139.69
  5. Step 5: Solve for x
    x = 14,139.69/105.36
  6. Step 6: Final answer
    x = 134.20

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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.