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Finding the Fourth Proportional to 144, 215.04 and 116.88

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Solution

The fourth proportional to 144, 215.04 and 116.88 is: 174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 215.04 = 116.88 : x
  2. Step 2: Convert to fraction form
    144/215.04 = 116.88/x
  3. Step 3: Cross multiply
    144x = 215.04 × 116.88
  4. Step 4: Simplify right side
    144x = 25,133.88
  5. Step 5: Solve for x
    x = 25,133.88/144
  6. Step 6: Final answer
    x = 174.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.