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Finding the Fourth Proportional to 111.35, 153.53 and 69.83

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Solution

The fourth proportional to 111.35, 153.53 and 69.83 is: 96.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.35 : 153.53 = 69.83 : x
  2. Step 2: Convert to fraction form
    111.35/153.53 = 69.83/x
  3. Step 3: Cross multiply
    111.35x = 153.53 × 69.83
  4. Step 4: Simplify right side
    111.35x = 10,719.88
  5. Step 5: Solve for x
    x = 10,719.88/111.35
  6. Step 6: Final answer
    x = 96.28

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