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Finding the Fourth Proportional to 75.74, 104.51 and 51.18

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Solution

The fourth proportional to 75.74, 104.51 and 51.18 is: 70.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.74 : 104.51 = 51.18 : x
  2. Step 2: Convert to fraction form
    75.74/104.51 = 51.18/x
  3. Step 3: Cross multiply
    75.74x = 104.51 × 51.18
  4. Step 4: Simplify right side
    75.74x = 5,348.86
  5. Step 5: Solve for x
    x = 5,348.86/75.74
  6. Step 6: Final answer
    x = 70.63

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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.