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Finding the Fourth Proportional to 75.93, 104.10 and 74.57

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Solution

The fourth proportional to 75.93, 104.10 and 74.57 is: 102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.93 : 104.10 = 74.57 : x
  2. Step 2: Convert to fraction form
    75.93/104.10 = 74.57/x
  3. Step 3: Cross multiply
    75.93x = 104.10 × 74.57
  4. Step 4: Simplify right side
    75.93x = 7,762.22
  5. Step 5: Solve for x
    x = 7,762.22/75.93
  6. Step 6: Final answer
    x = 102.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.