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Finding the Fourth Proportional to 97.03, 133.88 and 75.30

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Solution

The fourth proportional to 97.03, 133.88 and 75.30 is: 103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.03 : 133.88 = 75.30 : x
  2. Step 2: Convert to fraction form
    97.03/133.88 = 75.30/x
  3. Step 3: Cross multiply
    97.03x = 133.88 × 75.30
  4. Step 4: Simplify right side
    97.03x = 10,081.16
  5. Step 5: Solve for x
    x = 10,081.16/97.03
  6. Step 6: Final answer
    x = 103.90

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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.