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Finding the Fourth Proportional to 111.08, 153.27 and 69.66

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Solution

The fourth proportional to 111.08, 153.27 and 69.66 is: 96.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.08 : 153.27 = 69.66 : x
  2. Step 2: Convert to fraction form
    111.08/153.27 = 69.66/x
  3. Step 3: Cross multiply
    111.08x = 153.27 × 69.66
  4. Step 4: Simplify right side
    111.08x = 10,677.36
  5. Step 5: Solve for x
    x = 10,677.36/111.08
  6. Step 6: Final answer
    x = 96.13

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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.