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Finding the Fourth Proportional to 75.59, 104.25 and 51.00

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Solution

The fourth proportional to 75.59, 104.25 and 51.00 is: 70.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.59 : 104.25 = 51.00 : x
  2. Step 2: Convert to fraction form
    75.59/104.25 = 51.00/x
  3. Step 3: Cross multiply
    75.59x = 104.25 × 51.00
  4. Step 4: Simplify right side
    75.59x = 5,316.23
  5. Step 5: Solve for x
    x = 5,316.23/75.59
  6. Step 6: Final answer
    x = 70.33

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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.