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Finding the Fourth Proportional to 97.45, 134.61 and 75.90

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Solution

The fourth proportional to 97.45, 134.61 and 75.90 is: 104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.45 : 134.61 = 75.90 : x
  2. Step 2: Convert to fraction form
    97.45/134.61 = 75.90/x
  3. Step 3: Cross multiply
    97.45x = 134.61 × 75.90
  4. Step 4: Simplify right side
    97.45x = 10,216.90
  5. Step 5: Solve for x
    x = 10,216.90/97.45
  6. Step 6: Final answer
    x = 104.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.