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Finding the Fourth Proportional to 35.41, 53 and 27.24

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Solution

The fourth proportional to 35.41, 53 and 27.24 is: 40.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.41 : 53 = 27.24 : x
  2. Step 2: Convert to fraction form
    35.41/53 = 27.24/x
  3. Step 3: Cross multiply
    35.41x = 53 × 27.24
  4. Step 4: Simplify right side
    35.41x = 1,443.46
  5. Step 5: Solve for x
    x = 1,443.46/35.41
  6. Step 6: Final answer
    x = 40.76

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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.