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Finding the Fourth Proportional to 15.72, 23.54 and 13.07

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Solution

The fourth proportional to 15.72, 23.54 and 13.07 is: 19.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.72 : 23.54 = 13.07 : x
  2. Step 2: Convert to fraction form
    15.72/23.54 = 13.07/x
  3. Step 3: Cross multiply
    15.72x = 23.54 × 13.07
  4. Step 4: Simplify right side
    15.72x = 307.48
  5. Step 5: Solve for x
    x = 307.48/15.72
  6. Step 6: Final answer
    x = 19.56

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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.