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Finding the Fourth Proportional to 29.24, 43.80 and 22.50

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Solution

The fourth proportional to 29.24, 43.80 and 22.50 is: 33.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.24 : 43.80 = 22.50 : x
  2. Step 2: Convert to fraction form
    29.24/43.80 = 22.50/x
  3. Step 3: Cross multiply
    29.24x = 43.80 × 22.50
  4. Step 4: Simplify right side
    29.24x = 985.50
  5. Step 5: Solve for x
    x = 985.50/29.24
  6. Step 6: Final answer
    x = 33.70

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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.