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Finding the Fourth Proportional to 95.32, 142.96 and 30.32

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Solution

The fourth proportional to 95.32, 142.96 and 30.32 is: 45.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.32 : 142.96 = 30.32 : x
  2. Step 2: Convert to fraction form
    95.32/142.96 = 30.32/x
  3. Step 3: Cross multiply
    95.32x = 142.96 × 30.32
  4. Step 4: Simplify right side
    95.32x = 4,334.55
  5. Step 5: Solve for x
    x = 4,334.55/95.32
  6. Step 6: Final answer
    x = 45.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.