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Finding the Fourth Proportional to 75.06, 103.32 and 67.68

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Solution

The fourth proportional to 75.06, 103.32 and 67.68 is: 93.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.06 : 103.32 = 67.68 : x
  2. Step 2: Convert to fraction form
    75.06/103.32 = 67.68/x
  3. Step 3: Cross multiply
    75.06x = 103.32 × 67.68
  4. Step 4: Simplify right side
    75.06x = 6,992.70
  5. Step 5: Solve for x
    x = 6,992.70/75.06
  6. Step 6: Final answer
    x = 93.16

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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.