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Finding the Fourth Proportional to 144.41, 216.61 and 41.69

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Solution

The fourth proportional to 144.41, 216.61 and 41.69 is: 62.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.41 : 216.61 = 41.69 : x
  2. Step 2: Convert to fraction form
    144.41/216.61 = 41.69/x
  3. Step 3: Cross multiply
    144.41x = 216.61 × 41.69
  4. Step 4: Simplify right side
    144.41x = 9,030.47
  5. Step 5: Solve for x
    x = 9,030.47/144.41
  6. Step 6: Final answer
    x = 62.53

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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.