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Finding the Fourth Proportional to 35.54, 53.37 and 24.86

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Solution

The fourth proportional to 35.54, 53.37 and 24.86 is: 37.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.54 : 53.37 = 24.86 : x
  2. Step 2: Convert to fraction form
    35.54/53.37 = 24.86/x
  3. Step 3: Cross multiply
    35.54x = 53.37 × 24.86
  4. Step 4: Simplify right side
    35.54x = 1,326.78
  5. Step 5: Solve for x
    x = 1,326.78/35.54
  6. Step 6: Final answer
    x = 37.33

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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.