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Finding the Fourth Proportional to 96.16, 144.16 and 32

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Solution

The fourth proportional to 96.16, 144.16 and 32 is: 47.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.16 : 144.16 = 32 : x
  2. Step 2: Convert to fraction form
    96.16/144.16 = 32/x
  3. Step 3: Cross multiply
    96.16x = 144.16 × 32
  4. Step 4: Simplify right side
    96.16x = 4,613.12
  5. Step 5: Solve for x
    x = 4,613.12/96.16
  6. Step 6: Final answer
    x = 47.97

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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.