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Finding the Fourth Proportional to 142.99, 215.13 and 129.88

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Solution

The fourth proportional to 142.99, 215.13 and 129.88 is: 195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.99 : 215.13 = 129.88 : x
  2. Step 2: Convert to fraction form
    142.99/215.13 = 129.88/x
  3. Step 3: Cross multiply
    142.99x = 215.13 × 129.88
  4. Step 4: Simplify right side
    142.99x = 27,941.08
  5. Step 5: Solve for x
    x = 27,941.08/142.99
  6. Step 6: Final answer
    x = 195.41

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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.