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Finding the Fourth Proportional to 142.02, 195.75 and 129.47

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Solution

The fourth proportional to 142.02, 195.75 and 129.47 is: 178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.02 : 195.75 = 129.47 : x
  2. Step 2: Convert to fraction form
    142.02/195.75 = 129.47/x
  3. Step 3: Cross multiply
    142.02x = 195.75 × 129.47
  4. Step 4: Simplify right side
    142.02x = 25,342.77
  5. Step 5: Solve for x
    x = 25,342.77/142.02
  6. Step 6: Final answer
    x = 178.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.