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Finding the Fourth Proportional to 95.28, 142.26 and 86.16

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Solution

The fourth proportional to 95.28, 142.26 and 86.16 is: 128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.28 : 142.26 = 86.16 : x
  2. Step 2: Convert to fraction form
    95.28/142.26 = 86.16/x
  3. Step 3: Cross multiply
    95.28x = 142.26 × 86.16
  4. Step 4: Simplify right side
    95.28x = 12,257.12
  5. Step 5: Solve for x
    x = 12,257.12/95.28
  6. Step 6: Final answer
    x = 128.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.