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Finding the Fourth Proportional to 111.31, 153.25 and 96.75

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Solution

The fourth proportional to 111.31, 153.25 and 96.75 is: 133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.31 : 153.25 = 96.75 : x
  2. Step 2: Convert to fraction form
    111.31/153.25 = 96.75/x
  3. Step 3: Cross multiply
    111.31x = 153.25 × 96.75
  4. Step 4: Simplify right side
    111.31x = 14,827.08
  5. Step 5: Solve for x
    x = 14,827.08/111.31
  6. Step 6: Final answer
    x = 133.20

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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.