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Finding the Fourth Proportional to 33, 45.24 and 31.20

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Solution

The fourth proportional to 33, 45.24 and 31.20 is: 42.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33 : 45.24 = 31.20 : x
  2. Step 2: Convert to fraction form
    33/45.24 = 31.20/x
  3. Step 3: Cross multiply
    33x = 45.24 × 31.20
  4. Step 4: Simplify right side
    33x = 1,411.49
  5. Step 5: Solve for x
    x = 1,411.49/33
  6. Step 6: Final answer
    x = 42.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.