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Finding the Fourth Proportional to 111.67, 153.75 and 97.77

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Solution

The fourth proportional to 111.67, 153.75 and 97.77 is: 134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.67 : 153.75 = 97.77 : x
  2. Step 2: Convert to fraction form
    111.67/153.75 = 97.77/x
  3. Step 3: Cross multiply
    111.67x = 153.75 × 97.77
  4. Step 4: Simplify right side
    111.67x = 15,033.08
  5. Step 5: Solve for x
    x = 15,033.08/111.67
  6. Step 6: Final answer
    x = 134.62

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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.