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Finding the Fourth Proportional to 75.78, 104.49 and 55.06

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Solution

The fourth proportional to 75.78, 104.49 and 55.06 is: 75.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 104.49 = 55.06 : x
  2. Step 2: Convert to fraction form
    75.78/104.49 = 55.06/x
  3. Step 3: Cross multiply
    75.78x = 104.49 × 55.06
  4. Step 4: Simplify right side
    75.78x = 5,752.96
  5. Step 5: Solve for x
    x = 5,752.96/75.78
  6. Step 6: Final answer
    x = 75.92

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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.