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Finding the Fourth Proportional to 142.02, 211.23 and 129.03

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Solution

The fourth proportional to 142.02, 211.23 and 129.03 is: 191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.02 : 211.23 = 129.03 : x
  2. Step 2: Convert to fraction form
    142.02/211.23 = 129.03/x
  3. Step 3: Cross multiply
    142.02x = 211.23 × 129.03
  4. Step 4: Simplify right side
    142.02x = 27,255.01
  5. Step 5: Solve for x
    x = 27,255.01/142.02
  6. Step 6: Final answer
    x = 191.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.