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Finding the Fourth Proportional to 75.89, 104.76 and 51.46

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Solution

The fourth proportional to 75.89, 104.76 and 51.46 is: 71.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.89 : 104.76 = 51.46 : x
  2. Step 2: Convert to fraction form
    75.89/104.76 = 51.46/x
  3. Step 3: Cross multiply
    75.89x = 104.76 × 51.46
  4. Step 4: Simplify right side
    75.89x = 5,390.69
  5. Step 5: Solve for x
    x = 5,390.69/75.89
  6. Step 6: Final answer
    x = 71.03

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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.