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Finding the Fourth Proportional to 75.89, 104.67 and 54.02

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Solution

The fourth proportional to 75.89, 104.67 and 54.02 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.89 : 104.67 = 54.02 : x
  2. Step 2: Convert to fraction form
    75.89/104.67 = 54.02/x
  3. Step 3: Cross multiply
    75.89x = 104.67 × 54.02
  4. Step 4: Simplify right side
    75.89x = 5,653.75
  5. Step 5: Solve for x
    x = 5,653.75/75.89
  6. Step 6: Final answer
    x = 74.50

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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.