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Finding the Fourth Proportional to 144.64, 216.96 and 108.64

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Solution

The fourth proportional to 144.64, 216.96 and 108.64 is: 162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.64 : 216.96 = 108.64 : x
  2. Step 2: Convert to fraction form
    144.64/216.96 = 108.64/x
  3. Step 3: Cross multiply
    144.64x = 216.96 × 108.64
  4. Step 4: Simplify right side
    144.64x = 23,570.53
  5. Step 5: Solve for x
    x = 23,570.53/144.64
  6. Step 6: Final answer
    x = 162.96

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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.