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Finding the Fourth Proportional to 120.34, 179.66 and 102.12

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Solution

The fourth proportional to 120.34, 179.66 and 102.12 is: 152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.34 : 179.66 = 102.12 : x
  2. Step 2: Convert to fraction form
    120.34/179.66 = 102.12/x
  3. Step 3: Cross multiply
    120.34x = 179.66 × 102.12
  4. Step 4: Simplify right side
    120.34x = 18,346.88
  5. Step 5: Solve for x
    x = 18,346.88/120.34
  6. Step 6: Final answer
    x = 152.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.