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Finding the Fourth Proportional to 142.01, 212.87 and 45.75

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Solution

The fourth proportional to 142.01, 212.87 and 45.75 is: 68.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.01 : 212.87 = 45.75 : x
  2. Step 2: Convert to fraction form
    142.01/212.87 = 45.75/x
  3. Step 3: Cross multiply
    142.01x = 212.87 × 45.75
  4. Step 4: Simplify right side
    142.01x = 9,738.92
  5. Step 5: Solve for x
    x = 9,738.92/142.01
  6. Step 6: Final answer
    x = 68.58

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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.