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Finding the Fourth Proportional to 120.34, 165.63 and 102.07

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Solution

The fourth proportional to 120.34, 165.63 and 102.07 is: 140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.34 : 165.63 = 102.07 : x
  2. Step 2: Convert to fraction form
    120.34/165.63 = 102.07/x
  3. Step 3: Cross multiply
    120.34x = 165.63 × 102.07
  4. Step 4: Simplify right side
    120.34x = 16,905.85
  5. Step 5: Solve for x
    x = 16,905.85/120.34
  6. Step 6: Final answer
    x = 140.48

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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.