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Finding the Fourth Proportional to 144.33, 216.46 and 53.07

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Solution

The fourth proportional to 144.33, 216.46 and 53.07 is: 79.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.33 : 216.46 = 53.07 : x
  2. Step 2: Convert to fraction form
    144.33/216.46 = 53.07/x
  3. Step 3: Cross multiply
    144.33x = 216.46 × 53.07
  4. Step 4: Simplify right side
    144.33x = 11,487.53
  5. Step 5: Solve for x
    x = 11,487.53/144.33
  6. Step 6: Final answer
    x = 79.59

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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.