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Finding the Fourth Proportional to 144.95, 217.29 and 53.58

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Solution

The fourth proportional to 144.95, 217.29 and 53.58 is: 80.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.95 : 217.29 = 53.58 : x
  2. Step 2: Convert to fraction form
    144.95/217.29 = 53.58/x
  3. Step 3: Cross multiply
    144.95x = 217.29 × 53.58
  4. Step 4: Simplify right side
    144.95x = 11,642.13
  5. Step 5: Solve for x
    x = 11,642.13/144.95
  6. Step 6: Final answer
    x = 80.32

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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.