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Finding the Fourth Proportional to 96.18, 144.16 and 32.04

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Solution

The fourth proportional to 96.18, 144.16 and 32.04 is: 48.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.18 : 144.16 = 32.04 : x
  2. Step 2: Convert to fraction form
    96.18/144.16 = 32.04/x
  3. Step 3: Cross multiply
    96.18x = 144.16 × 32.04
  4. Step 4: Simplify right side
    96.18x = 4,618.89
  5. Step 5: Solve for x
    x = 4,618.89/96.18
  6. Step 6: Final answer
    x = 48.02

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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.