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Finding the Fourth Proportional to 142.56, 214.02 and 113.67

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Solution

The fourth proportional to 142.56, 214.02 and 113.67 is: 170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.56 : 214.02 = 113.67 : x
  2. Step 2: Convert to fraction form
    142.56/214.02 = 113.67/x
  3. Step 3: Cross multiply
    142.56x = 214.02 × 113.67
  4. Step 4: Simplify right side
    142.56x = 24,327.65
  5. Step 5: Solve for x
    x = 24,327.65/142.56
  6. Step 6: Final answer
    x = 170.65

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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.