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Finding the Fourth Proportional to 15.32, 22.96 and 14.04

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Solution

The fourth proportional to 15.32, 22.96 and 14.04 is: 21.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.32 : 22.96 = 14.04 : x
  2. Step 2: Convert to fraction form
    15.32/22.96 = 14.04/x
  3. Step 3: Cross multiply
    15.32x = 22.96 × 14.04
  4. Step 4: Simplify right side
    15.32x = 322.36
  5. Step 5: Solve for x
    x = 322.36/15.32
  6. Step 6: Final answer
    x = 21.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.