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Finding the Fourth Proportional to 130.42, 180.12 and 119.50

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Solution

The fourth proportional to 130.42, 180.12 and 119.50 is: 165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.42 : 180.12 = 119.50 : x
  2. Step 2: Convert to fraction form
    130.42/180.12 = 119.50/x
  3. Step 3: Cross multiply
    130.42x = 180.12 × 119.50
  4. Step 4: Simplify right side
    130.42x = 21,524.34
  5. Step 5: Solve for x
    x = 21,524.34/130.42
  6. Step 6: Final answer
    x = 165.04

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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.