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Finding the Fourth Proportional to 142.06, 212.82 and 96.28

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Solution

The fourth proportional to 142.06, 212.82 and 96.28 is: 144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.06 : 212.82 = 96.28 : x
  2. Step 2: Convert to fraction form
    142.06/212.82 = 96.28/x
  3. Step 3: Cross multiply
    142.06x = 212.82 × 96.28
  4. Step 4: Simplify right side
    142.06x = 20,490.31
  5. Step 5: Solve for x
    x = 20,490.31/142.06
  6. Step 6: Final answer
    x = 144.24

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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.