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Finding the Fourth Proportional to 15.72, 23.54 and 13

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Solution

The fourth proportional to 15.72, 23.54 and 13 is: 19.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.72 : 23.54 = 13 : x
  2. Step 2: Convert to fraction form
    15.72/23.54 = 13/x
  3. Step 3: Cross multiply
    15.72x = 23.54 × 13
  4. Step 4: Simplify right side
    15.72x = 306.02
  5. Step 5: Solve for x
    x = 306.02/15.72
  6. Step 6: Final answer
    x = 19.47

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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.