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Finding the Fourth Proportional to 75.17, 103.84 and 74.66

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Solution

The fourth proportional to 75.17, 103.84 and 74.66 is: 103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.17 : 103.84 = 74.66 : x
  2. Step 2: Convert to fraction form
    75.17/103.84 = 74.66/x
  3. Step 3: Cross multiply
    75.17x = 103.84 × 74.66
  4. Step 4: Simplify right side
    75.17x = 7,752.69
  5. Step 5: Solve for x
    x = 7,752.69/75.17
  6. Step 6: Final answer
    x = 103.14

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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.