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Finding the Fourth Proportional to 75.94, 114.08 and 74.06

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Solution

The fourth proportional to 75.94, 114.08 and 74.06 is: 111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 114.08 = 74.06 : x
  2. Step 2: Convert to fraction form
    75.94/114.08 = 74.06/x
  3. Step 3: Cross multiply
    75.94x = 114.08 × 74.06
  4. Step 4: Simplify right side
    75.94x = 8,448.76
  5. Step 5: Solve for x
    x = 8,448.76/75.94
  6. Step 6: Final answer
    x = 111.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.