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Finding the Fourth Proportional to 15.07, 20.71 and 14.40

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Solution

The fourth proportional to 15.07, 20.71 and 14.40 is: 19.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.07 : 20.71 = 14.40 : x
  2. Step 2: Convert to fraction form
    15.07/20.71 = 14.40/x
  3. Step 3: Cross multiply
    15.07x = 20.71 × 14.40
  4. Step 4: Simplify right side
    15.07x = 298.19
  5. Step 5: Solve for x
    x = 298.19/15.07
  6. Step 6: Final answer
    x = 19.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.