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Finding the Fourth Proportional to 18.64, 25.71 and 14.32

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Solution

The fourth proportional to 18.64, 25.71 and 14.32 is: 19.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.64 : 25.71 = 14.32 : x
  2. Step 2: Convert to fraction form
    18.64/25.71 = 14.32/x
  3. Step 3: Cross multiply
    18.64x = 25.71 × 14.32
  4. Step 4: Simplify right side
    18.64x = 368.17
  5. Step 5: Solve for x
    x = 368.17/18.64
  6. Step 6: Final answer
    x = 19.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.