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Finding the Fourth Proportional to 111.72, 153.81 and 97.16

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Solution

The fourth proportional to 111.72, 153.81 and 97.16 is: 133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.72 : 153.81 = 97.16 : x
  2. Step 2: Convert to fraction form
    111.72/153.81 = 97.16/x
  3. Step 3: Cross multiply
    111.72x = 153.81 × 97.16
  4. Step 4: Simplify right side
    111.72x = 14,943.31
  5. Step 5: Solve for x
    x = 14,943.31/111.72
  6. Step 6: Final answer
    x = 133.76

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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.