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Finding the Fourth Proportional to 75.93, 104.74 and 54.06

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Solution

The fourth proportional to 75.93, 104.74 and 54.06 is: 74.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.93 : 104.74 = 54.06 : x
  2. Step 2: Convert to fraction form
    75.93/104.74 = 54.06/x
  3. Step 3: Cross multiply
    75.93x = 104.74 × 54.06
  4. Step 4: Simplify right side
    75.93x = 5,662.24
  5. Step 5: Solve for x
    x = 5,662.24/75.93
  6. Step 6: Final answer
    x = 74.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.