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Finding the Fourth Proportional to 35.71, 49.31 and 24.06

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Solution

The fourth proportional to 35.71, 49.31 and 24.06 is: 33.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.71 : 49.31 = 24.06 : x
  2. Step 2: Convert to fraction form
    35.71/49.31 = 24.06/x
  3. Step 3: Cross multiply
    35.71x = 49.31 × 24.06
  4. Step 4: Simplify right side
    35.71x = 1,186.55
  5. Step 5: Solve for x
    x = 1,186.55/35.71
  6. Step 6: Final answer
    x = 33.23

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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.