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Finding the Fourth Proportional to 144.25, 216.35 and 41.53

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Solution

The fourth proportional to 144.25, 216.35 and 41.53 is: 62.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.25 : 216.35 = 41.53 : x
  2. Step 2: Convert to fraction form
    144.25/216.35 = 41.53/x
  3. Step 3: Cross multiply
    144.25x = 216.35 × 41.53
  4. Step 4: Simplify right side
    144.25x = 8,985.06
  5. Step 5: Solve for x
    x = 8,985.06/144.25
  6. Step 6: Final answer
    x = 62.29

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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.