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Finding the Fourth Proportional to 101.48, 152.24 and 33.00

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Solution

The fourth proportional to 101.48, 152.24 and 33.00 is: 49.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.48 : 152.24 = 33.00 : x
  2. Step 2: Convert to fraction form
    101.48/152.24 = 33.00/x
  3. Step 3: Cross multiply
    101.48x = 152.24 × 33.00
  4. Step 4: Simplify right side
    101.48x = 5,024.44
  5. Step 5: Solve for x
    x = 5,024.44/101.48
  6. Step 6: Final answer
    x = 49.51

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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.