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Finding the Fourth Proportional to 111.33, 153.36 and 96.75

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Solution

The fourth proportional to 111.33, 153.36 and 96.75 is: 133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.33 : 153.36 = 96.75 : x
  2. Step 2: Convert to fraction form
    111.33/153.36 = 96.75/x
  3. Step 3: Cross multiply
    111.33x = 153.36 × 96.75
  4. Step 4: Simplify right side
    111.33x = 14,837.58
  5. Step 5: Solve for x
    x = 14,837.58/111.33
  6. Step 6: Final answer
    x = 133.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.