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Finding the Fourth Proportional to 21.16, 31.75 and 8.97

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Solution

The fourth proportional to 21.16, 31.75 and 8.97 is: 13.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.16 : 31.75 = 8.97 : x
  2. Step 2: Convert to fraction form
    21.16/31.75 = 8.97/x
  3. Step 3: Cross multiply
    21.16x = 31.75 × 8.97
  4. Step 4: Simplify right side
    21.16x = 284.66
  5. Step 5: Solve for x
    x = 284.66/21.16
  6. Step 6: Final answer
    x = 13.45

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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.