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Finding the Fourth Proportional to 21.98, 32.98 and 10.57

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Solution

The fourth proportional to 21.98, 32.98 and 10.57 is: 15.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.98 : 32.98 = 10.57 : x
  2. Step 2: Convert to fraction form
    21.98/32.98 = 10.57/x
  3. Step 3: Cross multiply
    21.98x = 32.98 × 10.57
  4. Step 4: Simplify right side
    21.98x = 348.38
  5. Step 5: Solve for x
    x = 348.38/21.98
  6. Step 6: Final answer
    x = 15.85

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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.