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Finding the Fourth Proportional to 105.09, 157.75 and 88.94

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Solution

The fourth proportional to 105.09, 157.75 and 88.94 is: 133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 157.75 = 88.94 : x
  2. Step 2: Convert to fraction form
    105.09/157.75 = 88.94/x
  3. Step 3: Cross multiply
    105.09x = 157.75 × 88.94
  4. Step 4: Simplify right side
    105.09x = 14,029.27
  5. Step 5: Solve for x
    x = 14,029.27/105.09
  6. Step 6: Final answer
    x = 133.50

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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.