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Finding the Fourth Proportional to 75, 103.50 and 40.50

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Solution

The fourth proportional to 75, 103.50 and 40.50 is: 55.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 103.50 = 40.50 : x
  2. Step 2: Convert to fraction form
    75/103.50 = 40.50/x
  3. Step 3: Cross multiply
    75x = 103.50 × 40.50
  4. Step 4: Simplify right side
    75x = 4,191.75
  5. Step 5: Solve for x
    x = 4,191.75/75
  6. Step 6: Final answer
    x = 55.89

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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.