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Finding the Fourth Proportional to 111.01, 153.14 and 78.28

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Solution

The fourth proportional to 111.01, 153.14 and 78.28 is: 107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.01 : 153.14 = 78.28 : x
  2. Step 2: Convert to fraction form
    111.01/153.14 = 78.28/x
  3. Step 3: Cross multiply
    111.01x = 153.14 × 78.28
  4. Step 4: Simplify right side
    111.01x = 11,987.80
  5. Step 5: Solve for x
    x = 11,987.80/111.01
  6. Step 6: Final answer
    x = 107.99

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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.