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Finding the Fourth Proportional to 75.00, 103.47 and 50.45

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Solution

The fourth proportional to 75.00, 103.47 and 50.45 is: 69.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.00 : 103.47 = 50.45 : x
  2. Step 2: Convert to fraction form
    75.00/103.47 = 50.45/x
  3. Step 3: Cross multiply
    75.00x = 103.47 × 50.45
  4. Step 4: Simplify right side
    75.00x = 5,219.29
  5. Step 5: Solve for x
    x = 5,219.29/75.00
  6. Step 6: Final answer
    x = 69.59

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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.