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Finding the Fourth Proportional to 34.38, 51.76 and 24.31

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Solution

The fourth proportional to 34.38, 51.76 and 24.31 is: 36.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.38 : 51.76 = 24.31 : x
  2. Step 2: Convert to fraction form
    34.38/51.76 = 24.31/x
  3. Step 3: Cross multiply
    34.38x = 51.76 × 24.31
  4. Step 4: Simplify right side
    34.38x = 1,258.29
  5. Step 5: Solve for x
    x = 1,258.29/34.38
  6. Step 6: Final answer
    x = 36.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.