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Finding the Fourth Proportional to 104.68, 144.52 and 75.64

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Solution

The fourth proportional to 104.68, 144.52 and 75.64 is: 104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.68 : 144.52 = 75.64 : x
  2. Step 2: Convert to fraction form
    104.68/144.52 = 75.64/x
  3. Step 3: Cross multiply
    104.68x = 144.52 × 75.64
  4. Step 4: Simplify right side
    104.68x = 10,931.49
  5. Step 5: Solve for x
    x = 10,931.49/104.68
  6. Step 6: Final answer
    x = 104.43

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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.