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Finding the Fourth Proportional to 52.44, 72.40 and 33.06

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Solution

The fourth proportional to 52.44, 72.40 and 33.06 is: 45.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.44 : 72.40 = 33.06 : x
  2. Step 2: Convert to fraction form
    52.44/72.40 = 33.06/x
  3. Step 3: Cross multiply
    52.44x = 72.40 × 33.06
  4. Step 4: Simplify right side
    52.44x = 2,393.54
  5. Step 5: Solve for x
    x = 2,393.54/52.44
  6. Step 6: Final answer
    x = 45.64

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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.