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Finding the Fourth Proportional to 75.54, 104.38 and 51.06

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Solution

The fourth proportional to 75.54, 104.38 and 51.06 is: 70.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.54 : 104.38 = 51.06 : x
  2. Step 2: Convert to fraction form
    75.54/104.38 = 51.06/x
  3. Step 3: Cross multiply
    75.54x = 104.38 × 51.06
  4. Step 4: Simplify right side
    75.54x = 5,329.64
  5. Step 5: Solve for x
    x = 5,329.64/75.54
  6. Step 6: Final answer
    x = 70.55

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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.