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Finding the Fourth Proportional to 33, 45.55 and 22.63

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Solution

The fourth proportional to 33, 45.55 and 22.63 is: 31.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33 : 45.55 = 22.63 : x
  2. Step 2: Convert to fraction form
    33/45.55 = 22.63/x
  3. Step 3: Cross multiply
    33x = 45.55 × 22.63
  4. Step 4: Simplify right side
    33x = 1,030.80
  5. Step 5: Solve for x
    x = 1,030.80/33
  6. Step 6: Final answer
    x = 31.24

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1.5x scale

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.