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Finding the Fourth Proportional to 120, 165.51 and 76.26

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Solution

The fourth proportional to 120, 165.51 and 76.26 is: 105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 165.51 = 76.26 : x
  2. Step 2: Convert to fraction form
    120/165.51 = 76.26/x
  3. Step 3: Cross multiply
    120x = 165.51 × 76.26
  4. Step 4: Simplify right side
    120x = 12,621.79
  5. Step 5: Solve for x
    x = 12,621.79/120
  6. Step 6: Final answer
    x = 105.18

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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.