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Finding the Fourth Proportional to 14.64, 20.40 and 14.40

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Solution

The fourth proportional to 14.64, 20.40 and 14.40 is: 20.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.64 : 20.40 = 14.40 : x
  2. Step 2: Convert to fraction form
    14.64/20.40 = 14.40/x
  3. Step 3: Cross multiply
    14.64x = 20.40 × 14.40
  4. Step 4: Simplify right side
    14.64x = 293.76
  5. Step 5: Solve for x
    x = 293.76/14.64
  6. Step 6: Final answer
    x = 20.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.