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Finding the Fourth Proportional to 142.16, 195.88 and 96.08

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Solution

The fourth proportional to 142.16, 195.88 and 96.08 is: 132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 195.88 = 96.08 : x
  2. Step 2: Convert to fraction form
    142.16/195.88 = 96.08/x
  3. Step 3: Cross multiply
    142.16x = 195.88 × 96.08
  4. Step 4: Simplify right side
    142.16x = 18,820.15
  5. Step 5: Solve for x
    x = 18,820.15/142.16
  6. Step 6: Final answer
    x = 132.39

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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.