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Finding the Fourth Proportional to 142.96, 214.32 and 82.04

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Solution

The fourth proportional to 142.96, 214.32 and 82.04 is: 122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 214.32 = 82.04 : x
  2. Step 2: Convert to fraction form
    142.96/214.32 = 82.04/x
  3. Step 3: Cross multiply
    142.96x = 214.32 × 82.04
  4. Step 4: Simplify right side
    142.96x = 17,582.81
  5. Step 5: Solve for x
    x = 17,582.81/142.96
  6. Step 6: Final answer
    x = 122.99

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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.