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Finding the Fourth Proportional to 75.48, 104.21 and 51.88

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Solution

The fourth proportional to 75.48, 104.21 and 51.88 is: 71.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.48 : 104.21 = 51.88 : x
  2. Step 2: Convert to fraction form
    75.48/104.21 = 51.88/x
  3. Step 3: Cross multiply
    75.48x = 104.21 × 51.88
  4. Step 4: Simplify right side
    75.48x = 5,406.41
  5. Step 5: Solve for x
    x = 5,406.41/75.48
  6. Step 6: Final answer
    x = 71.63

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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.