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Finding the Fourth Proportional to 16.42, 24.47 and 14.83

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Solution

The fourth proportional to 16.42, 24.47 and 14.83 is: 22.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.42 : 24.47 = 14.83 : x
  2. Step 2: Convert to fraction form
    16.42/24.47 = 14.83/x
  3. Step 3: Cross multiply
    16.42x = 24.47 × 14.83
  4. Step 4: Simplify right side
    16.42x = 362.89
  5. Step 5: Solve for x
    x = 362.89/16.42
  6. Step 6: Final answer
    x = 22.10

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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.