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Finding the Fourth Proportional to 120.04, 165.71 and 76.51

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Solution

The fourth proportional to 120.04, 165.71 and 76.51 is: 105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.04 : 165.71 = 76.51 : x
  2. Step 2: Convert to fraction form
    120.04/165.71 = 76.51/x
  3. Step 3: Cross multiply
    120.04x = 165.71 × 76.51
  4. Step 4: Simplify right side
    120.04x = 12,677.51
  5. Step 5: Solve for x
    x = 12,677.51/120.04
  6. Step 6: Final answer
    x = 105.61

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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.