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Finding the Fourth Proportional to 101.76, 152.63 and 33.26

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Solution

The fourth proportional to 101.76, 152.63 and 33.26 is: 49.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.76 : 152.63 = 33.26 : x
  2. Step 2: Convert to fraction form
    101.76/152.63 = 33.26/x
  3. Step 3: Cross multiply
    101.76x = 152.63 × 33.26
  4. Step 4: Simplify right side
    101.76x = 5,075.67
  5. Step 5: Solve for x
    x = 5,075.67/101.76
  6. Step 6: Final answer
    x = 49.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.