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Finding the Fourth Proportional to 64.67, 96.96 and 32.16

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Solution

The fourth proportional to 64.67, 96.96 and 32.16 is: 48.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.67 : 96.96 = 32.16 : x
  2. Step 2: Convert to fraction form
    64.67/96.96 = 32.16/x
  3. Step 3: Cross multiply
    64.67x = 96.96 × 32.16
  4. Step 4: Simplify right side
    64.67x = 3,118.23
  5. Step 5: Solve for x
    x = 3,118.23/64.67
  6. Step 6: Final answer
    x = 48.22

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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.