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Finding the Fourth Proportional to 33, 45.50 and 29.34

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Solution

The fourth proportional to 33, 45.50 and 29.34 is: 40.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33 : 45.50 = 29.34 : x
  2. Step 2: Convert to fraction form
    33/45.50 = 29.34/x
  3. Step 3: Cross multiply
    33x = 45.50 × 29.34
  4. Step 4: Simplify right side
    33x = 1,334.82
  5. Step 5: Solve for x
    x = 1,334.82/33
  6. Step 6: Final answer
    x = 40.45

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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.