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Finding the Fourth Proportional to 142.42, 213.83 and 88.15

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Solution

The fourth proportional to 142.42, 213.83 and 88.15 is: 132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 213.83 = 88.15 : x
  2. Step 2: Convert to fraction form
    142.42/213.83 = 88.15/x
  3. Step 3: Cross multiply
    142.42x = 213.83 × 88.15
  4. Step 4: Simplify right side
    142.42x = 18,849.11
  5. Step 5: Solve for x
    x = 18,849.11/142.42
  6. Step 6: Final answer
    x = 132.35

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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.