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Finding the Fourth Proportional to 75.91, 104.81 and 54.10

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Solution

The fourth proportional to 75.91, 104.81 and 54.10 is: 74.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.91 : 104.81 = 54.10 : x
  2. Step 2: Convert to fraction form
    75.91/104.81 = 54.10/x
  3. Step 3: Cross multiply
    75.91x = 104.81 × 54.10
  4. Step 4: Simplify right side
    75.91x = 5,670.22
  5. Step 5: Solve for x
    x = 5,670.22/75.91
  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.