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Finding the Fourth Proportional to 15.46, 21.32 and 9.31

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Solution

The fourth proportional to 15.46, 21.32 and 9.31 is: 12.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.46 : 21.32 = 9.31 : x
  2. Step 2: Convert to fraction form
    15.46/21.32 = 9.31/x
  3. Step 3: Cross multiply
    15.46x = 21.32 × 9.31
  4. Step 4: Simplify right side
    15.46x = 198.51
  5. Step 5: Solve for x
    x = 198.51/15.46
  6. Step 6: Final answer
    x = 12.84

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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.