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Finding the Fourth Proportional to 19.32, 29.02 and 14.52

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Solution

The fourth proportional to 19.32, 29.02 and 14.52 is: 21.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.32 : 29.02 = 14.52 : x
  2. Step 2: Convert to fraction form
    19.32/29.02 = 14.52/x
  3. Step 3: Cross multiply
    19.32x = 29.02 × 14.52
  4. Step 4: Simplify right side
    19.32x = 421.37
  5. Step 5: Solve for x
    x = 421.37/19.32
  6. Step 6: Final answer
    x = 21.81

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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.