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Finding the Fourth Proportional to 64, 96 and 45.12

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Solution

The fourth proportional to 64, 96 and 45.12 is: 67.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64 : 96 = 45.12 : x
  2. Step 2: Convert to fraction form
    64/96 = 45.12/x
  3. Step 3: Cross multiply
    64x = 96 × 45.12
  4. Step 4: Simplify right side
    64x = 4,331.52
  5. Step 5: Solve for x
    x = 4,331.52/64
  6. Step 6: Final answer
    x = 67.68

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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.