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Finding the Fourth Proportional to 111.01, 153.20 and 78.27

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Solution

The fourth proportional to 111.01, 153.20 and 78.27 is: 108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.01 : 153.20 = 78.27 : x
  2. Step 2: Convert to fraction form
    111.01/153.20 = 78.27/x
  3. Step 3: Cross multiply
    111.01x = 153.20 × 78.27
  4. Step 4: Simplify right side
    111.01x = 11,989.81
  5. Step 5: Solve for x
    x = 11,989.81/111.01
  6. Step 6: Final answer
    x = 108.01

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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.