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Finding the Fourth Proportional to 15.77, 23.53 and 13.38

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Solution

The fourth proportional to 15.77, 23.53 and 13.38 is: 19.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.77 : 23.53 = 13.38 : x
  2. Step 2: Convert to fraction form
    15.77/23.53 = 13.38/x
  3. Step 3: Cross multiply
    15.77x = 23.53 × 13.38
  4. Step 4: Simplify right side
    15.77x = 314.80
  5. Step 5: Solve for x
    x = 314.80/15.77
  6. Step 6: Final answer
    x = 19.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.