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Finding the Fourth Proportional to 35.46, 53.24 and 24.03

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Solution

The fourth proportional to 35.46, 53.24 and 24.03 is: 36.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.46 : 53.24 = 24.03 : x
  2. Step 2: Convert to fraction form
    35.46/53.24 = 24.03/x
  3. Step 3: Cross multiply
    35.46x = 53.24 × 24.03
  4. Step 4: Simplify right side
    35.46x = 1,279.30
  5. Step 5: Solve for x
    x = 1,279.30/35.46
  6. Step 6: Final answer
    x = 36.07

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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.