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Finding the Fourth Proportional to 75.47, 104.16 and 54.84

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Solution

The fourth proportional to 75.47, 104.16 and 54.84 is: 75.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.47 : 104.16 = 54.84 : x
  2. Step 2: Convert to fraction form
    75.47/104.16 = 54.84/x
  3. Step 3: Cross multiply
    75.47x = 104.16 × 54.84
  4. Step 4: Simplify right side
    75.47x = 5,712.28
  5. Step 5: Solve for x
    x = 5,712.28/75.47
  6. Step 6: Final answer
    x = 75.69

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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.