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Finding the Fourth Proportional to 120.02, 165.48 and 78.59

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Solution

The fourth proportional to 120.02, 165.48 and 78.59 is: 108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.02 : 165.48 = 78.59 : x
  2. Step 2: Convert to fraction form
    120.02/165.48 = 78.59/x
  3. Step 3: Cross multiply
    120.02x = 165.48 × 78.59
  4. Step 4: Simplify right side
    120.02x = 13,004.25
  5. Step 5: Solve for x
    x = 13,004.25/120.02
  6. Step 6: Final answer
    x = 108.36

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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.