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Finding the Fourth Proportional to 14.07, 20.98 and 13.53

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Solution

The fourth proportional to 14.07, 20.98 and 13.53 is: 20.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.07 : 20.98 = 13.53 : x
  2. Step 2: Convert to fraction form
    14.07/20.98 = 13.53/x
  3. Step 3: Cross multiply
    14.07x = 20.98 × 13.53
  4. Step 4: Simplify right side
    14.07x = 283.86
  5. Step 5: Solve for x
    x = 283.86/14.07
  6. Step 6: Final answer
    x = 20.17

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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.