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Finding the Fourth Proportional to 111.66, 153.93 and 76.68

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Solution

The fourth proportional to 111.66, 153.93 and 76.68 is: 105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.66 : 153.93 = 76.68 : x
  2. Step 2: Convert to fraction form
    111.66/153.93 = 76.68/x
  3. Step 3: Cross multiply
    111.66x = 153.93 × 76.68
  4. Step 4: Simplify right side
    111.66x = 11,803.35
  5. Step 5: Solve for x
    x = 11,803.35/111.66
  6. Step 6: Final answer
    x = 105.71

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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.