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Finding the Fourth Proportional to 19.53, 29.30 and 11.57

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Solution

The fourth proportional to 19.53, 29.30 and 11.57 is: 17.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.53 : 29.30 = 11.57 : x
  2. Step 2: Convert to fraction form
    19.53/29.30 = 11.57/x
  3. Step 3: Cross multiply
    19.53x = 29.30 × 11.57
  4. Step 4: Simplify right side
    19.53x = 338.80
  5. Step 5: Solve for x
    x = 338.80/19.53
  6. Step 6: Final answer
    x = 17.35

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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.