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Finding the Fourth Proportional to 142.27, 196.35 and 93.16

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Solution

The fourth proportional to 142.27, 196.35 and 93.16 is: 128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.27 : 196.35 = 93.16 : x
  2. Step 2: Convert to fraction form
    142.27/196.35 = 93.16/x
  3. Step 3: Cross multiply
    142.27x = 196.35 × 93.16
  4. Step 4: Simplify right side
    142.27x = 18,291.97
  5. Step 5: Solve for x
    x = 18,291.97/142.27
  6. Step 6: Final answer
    x = 128.57

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Why These Related Problems?

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