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Finding the Fourth Proportional to 34.36, 51.30 and 31

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Solution

The fourth proportional to 34.36, 51.30 and 31 is: 46.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.36 : 51.30 = 31 : x
  2. Step 2: Convert to fraction form
    34.36/51.30 = 31/x
  3. Step 3: Cross multiply
    34.36x = 51.30 × 31
  4. Step 4: Simplify right side
    34.36x = 1,590.30
  5. Step 5: Solve for x
    x = 1,590.30/34.36
  6. Step 6: Final answer
    x = 46.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.