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Finding the Fourth Proportional to 120.04, 165.64 and 76.44

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Solution

The fourth proportional to 120.04, 165.64 and 76.44 is: 105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.04 : 165.64 = 76.44 : x
  2. Step 2: Convert to fraction form
    120.04/165.64 = 76.44/x
  3. Step 3: Cross multiply
    120.04x = 165.64 × 76.44
  4. Step 4: Simplify right side
    120.04x = 12,661.52
  5. Step 5: Solve for x
    x = 12,661.52/120.04
  6. Step 6: Final answer
    x = 105.48

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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.