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Finding the Fourth Proportional to 75.48, 104.31 and 54.78

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Solution

The fourth proportional to 75.48, 104.31 and 54.78 is: 75.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.48 : 104.31 = 54.78 : x
  2. Step 2: Convert to fraction form
    75.48/104.31 = 54.78/x
  3. Step 3: Cross multiply
    75.48x = 104.31 × 54.78
  4. Step 4: Simplify right side
    75.48x = 5,714.10
  5. Step 5: Solve for x
    x = 5,714.10/75.48
  6. Step 6: Final answer
    x = 75.70

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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.