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Finding the Fourth Proportional to 15.07, 20.80 and 13.53

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Solution

The fourth proportional to 15.07, 20.80 and 13.53 is: 18.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.07 : 20.80 = 13.53 : x
  2. Step 2: Convert to fraction form
    15.07/20.80 = 13.53/x
  3. Step 3: Cross multiply
    15.07x = 20.80 × 13.53
  4. Step 4: Simplify right side
    15.07x = 281.42
  5. Step 5: Solve for x
    x = 281.42/15.07
  6. Step 6: Final answer
    x = 18.68

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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.