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Finding the Fourth Proportional to 110.81, 152.92 and 78.01

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Solution

The fourth proportional to 110.81, 152.92 and 78.01 is: 107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.81 : 152.92 = 78.01 : x
  2. Step 2: Convert to fraction form
    110.81/152.92 = 78.01/x
  3. Step 3: Cross multiply
    110.81x = 152.92 × 78.01
  4. Step 4: Simplify right side
    110.81x = 11,928.13
  5. Step 5: Solve for x
    x = 11,928.13/110.81
  6. Step 6: Final answer
    x = 107.64

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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.