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Finding the Fourth Proportional to 64.53, 96.78 and 18.88

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Solution

The fourth proportional to 64.53, 96.78 and 18.88 is: 28.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.53 : 96.78 = 18.88 : x
  2. Step 2: Convert to fraction form
    64.53/96.78 = 18.88/x
  3. Step 3: Cross multiply
    64.53x = 96.78 × 18.88
  4. Step 4: Simplify right side
    64.53x = 1,827.21
  5. Step 5: Solve for x
    x = 1,827.21/64.53
  6. Step 6: Final answer
    x = 28.32

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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.