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Finding the Fourth Proportional to 52.41, 72.33 and 33

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Solution

The fourth proportional to 52.41, 72.33 and 33 is: 45.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.41 : 72.33 = 33 : x
  2. Step 2: Convert to fraction form
    52.41/72.33 = 33/x
  3. Step 3: Cross multiply
    52.41x = 72.33 × 33
  4. Step 4: Simplify right side
    52.41x = 2,386.89
  5. Step 5: Solve for x
    x = 2,386.89/52.41
  6. Step 6: Final answer
    x = 45.54

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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.