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Finding the Fourth Proportional to 96.08, 144.08 and 31.06

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Solution

The fourth proportional to 96.08, 144.08 and 31.06 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.08 : 144.08 = 31.06 : x
  2. Step 2: Convert to fraction form
    96.08/144.08 = 31.06/x
  3. Step 3: Cross multiply
    96.08x = 144.08 × 31.06
  4. Step 4: Simplify right side
    96.08x = 4,475.12
  5. Step 5: Solve for x
    x = 4,475.12/96.08
  6. Step 6: Final answer
    x = 46.58

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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.