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Finding the Fourth Proportional to 75.02, 103.68 and 67.70

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Solution

The fourth proportional to 75.02, 103.68 and 67.70 is: 93.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.02 : 103.68 = 67.70 : x
  2. Step 2: Convert to fraction form
    75.02/103.68 = 67.70/x
  3. Step 3: Cross multiply
    75.02x = 103.68 × 67.70
  4. Step 4: Simplify right side
    75.02x = 7,019.14
  5. Step 5: Solve for x
    x = 7,019.14/75.02
  6. Step 6: Final answer
    x = 93.56

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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.