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Finding the Fourth Proportional to 21.40, 29.57 and 17.75

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Solution

The fourth proportional to 21.40, 29.57 and 17.75 is: 24.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.40 : 29.57 = 17.75 : x
  2. Step 2: Convert to fraction form
    21.40/29.57 = 17.75/x
  3. Step 3: Cross multiply
    21.40x = 29.57 × 17.75
  4. Step 4: Simplify right side
    21.40x = 524.85
  5. Step 5: Solve for x
    x = 524.85/21.40
  6. Step 6: Final answer
    x = 24.53

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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.