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Finding the Fourth Proportional to 142.16, 196.02 and 95.45

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Solution

The fourth proportional to 142.16, 196.02 and 95.45 is: 131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 196.02 = 95.45 : x
  2. Step 2: Convert to fraction form
    142.16/196.02 = 95.45/x
  3. Step 3: Cross multiply
    142.16x = 196.02 × 95.45
  4. Step 4: Simplify right side
    142.16x = 18,709.13
  5. Step 5: Solve for x
    x = 18,709.13/142.16
  6. Step 6: Final answer
    x = 131.61

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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.