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Finding the Fourth Proportional to 144.58, 216.92 and 90.41

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Solution

The fourth proportional to 144.58, 216.92 and 90.41 is: 135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.58 : 216.92 = 90.41 : x
  2. Step 2: Convert to fraction form
    144.58/216.92 = 90.41/x
  3. Step 3: Cross multiply
    144.58x = 216.92 × 90.41
  4. Step 4: Simplify right side
    144.58x = 19,611.74
  5. Step 5: Solve for x
    x = 19,611.74/144.58
  6. Step 6: Final answer
    x = 135.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.