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Finding the Fourth Proportional to 144.08, 215.76 and 98.24

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Solution

The fourth proportional to 144.08, 215.76 and 98.24 is: 147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.08 : 215.76 = 98.24 : x
  2. Step 2: Convert to fraction form
    144.08/215.76 = 98.24/x
  3. Step 3: Cross multiply
    144.08x = 215.76 × 98.24
  4. Step 4: Simplify right side
    144.08x = 21,196.26
  5. Step 5: Solve for x
    x = 21,196.26/144.08
  6. Step 6: Final answer
    x = 147.11

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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.