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Finding the Fourth Proportional to 75.12, 103.64 and 47.50

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Solution

The fourth proportional to 75.12, 103.64 and 47.50 is: 65.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.12 : 103.64 = 47.50 : x
  2. Step 2: Convert to fraction form
    75.12/103.64 = 47.50/x
  3. Step 3: Cross multiply
    75.12x = 103.64 × 47.50
  4. Step 4: Simplify right side
    75.12x = 4,922.90
  5. Step 5: Solve for x
    x = 4,922.90/75.12
  6. Step 6: Final answer
    x = 65.53

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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.