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Finding the Fourth Proportional to 34.36, 51.40 and 24.67

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Solution

The fourth proportional to 34.36, 51.40 and 24.67 is: 36.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.36 : 51.40 = 24.67 : x
  2. Step 2: Convert to fraction form
    34.36/51.40 = 24.67/x
  3. Step 3: Cross multiply
    34.36x = 51.40 × 24.67
  4. Step 4: Simplify right side
    34.36x = 1,268.13
  5. Step 5: Solve for x
    x = 1,268.13/34.36
  6. Step 6: Final answer
    x = 36.91

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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.