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Finding the Fourth Proportional to 15.42, 23.01 and 14.04

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Solution

The fourth proportional to 15.42, 23.01 and 14.04 is: 20.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.42 : 23.01 = 14.04 : x
  2. Step 2: Convert to fraction form
    15.42/23.01 = 14.04/x
  3. Step 3: Cross multiply
    15.42x = 23.01 × 14.04
  4. Step 4: Simplify right side
    15.42x = 323.00
  5. Step 5: Solve for x
    x = 323.00/15.42
  6. Step 6: Final answer
    x = 20.95

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Why These Related Problems?

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