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Finding the Fourth Proportional to 75.93, 104.78 and 54.14

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Solution

The fourth proportional to 75.93, 104.78 and 54.14 is: 74.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.93 : 104.78 = 54.14 : x
  2. Step 2: Convert to fraction form
    75.93/104.78 = 54.14/x
  3. Step 3: Cross multiply
    75.93x = 104.78 × 54.14
  4. Step 4: Simplify right side
    75.93x = 5,671.99
  5. Step 5: Solve for x
    x = 5,671.99/75.93
  6. Step 6: Final answer
    x = 74.70

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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.