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Finding the Fourth Proportional to 75.15, 104.18 and 71.04

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Solution

The fourth proportional to 75.15, 104.18 and 71.04 is: 98.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.15 : 104.18 = 71.04 : x
  2. Step 2: Convert to fraction form
    75.15/104.18 = 71.04/x
  3. Step 3: Cross multiply
    75.15x = 104.18 × 71.04
  4. Step 4: Simplify right side
    75.15x = 7,401.38
  5. Step 5: Solve for x
    x = 7,401.38/75.15
  6. Step 6: Final answer
    x = 98.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.