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Finding the Fourth Proportional to 120, 165.51 and 75.77

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Solution

The fourth proportional to 120, 165.51 and 75.77 is: 104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 165.51 = 75.77 : x
  2. Step 2: Convert to fraction form
    120/165.51 = 75.77/x
  3. Step 3: Cross multiply
    120x = 165.51 × 75.77
  4. Step 4: Simplify right side
    120x = 12,539.87
  5. Step 5: Solve for x
    x = 12,539.87/120
  6. Step 6: Final answer
    x = 104.50

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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.