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Finding the Fourth Proportional to 144.56, 216.48 and 113.00

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Solution

The fourth proportional to 144.56, 216.48 and 113.00 is: 169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.56 : 216.48 = 113.00 : x
  2. Step 2: Convert to fraction form
    144.56/216.48 = 113.00/x
  3. Step 3: Cross multiply
    144.56x = 216.48 × 113.00
  4. Step 4: Simplify right side
    144.56x = 24,462.80
  5. Step 5: Solve for x
    x = 24,462.80/144.56
  6. Step 6: Final answer
    x = 169.22

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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.