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Finding the Fourth Proportional to 142.07, 195.93 and 92.93

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Solution

The fourth proportional to 142.07, 195.93 and 92.93 is: 128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.07 : 195.93 = 92.93 : x
  2. Step 2: Convert to fraction form
    142.07/195.93 = 92.93/x
  3. Step 3: Cross multiply
    142.07x = 195.93 × 92.93
  4. Step 4: Simplify right side
    142.07x = 18,207.77
  5. Step 5: Solve for x
    x = 18,207.77/142.07
  6. Step 6: Final answer
    x = 128.16

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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.