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Finding the Fourth Proportional to 52.53, 72.41 and 40.23

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Solution

The fourth proportional to 52.53, 72.41 and 40.23 is: 55.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.53 : 72.41 = 40.23 : x
  2. Step 2: Convert to fraction form
    52.53/72.41 = 40.23/x
  3. Step 3: Cross multiply
    52.53x = 72.41 × 40.23
  4. Step 4: Simplify right side
    52.53x = 2,912.85
  5. Step 5: Solve for x
    x = 2,912.85/52.53
  6. Step 6: Final answer
    x = 55.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.