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Finding the Fourth Proportional to 25.32, 38.01 and 14.64

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Solution

The fourth proportional to 25.32, 38.01 and 14.64 is: 21.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.32 : 38.01 = 14.64 : x
  2. Step 2: Convert to fraction form
    25.32/38.01 = 14.64/x
  3. Step 3: Cross multiply
    25.32x = 38.01 × 14.64
  4. Step 4: Simplify right side
    25.32x = 556.47
  5. Step 5: Solve for x
    x = 556.47/25.32
  6. Step 6: Final answer
    x = 21.98

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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.