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Finding the Fourth Proportional to 142.52, 214.32 and 119.84

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Solution

The fourth proportional to 142.52, 214.32 and 119.84 is: 180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.52 : 214.32 = 119.84 : x
  2. Step 2: Convert to fraction form
    142.52/214.32 = 119.84/x
  3. Step 3: Cross multiply
    142.52x = 214.32 × 119.84
  4. Step 4: Simplify right side
    142.52x = 25,684.11
  5. Step 5: Solve for x
    x = 25,684.11/142.52
  6. Step 6: Final answer
    x = 180.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.