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Finding the Fourth Proportional to 96.53, 133.16 and 65.41

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Solution

The fourth proportional to 96.53, 133.16 and 65.41 is: 90.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.53 : 133.16 = 65.41 : x
  2. Step 2: Convert to fraction form
    96.53/133.16 = 65.41/x
  3. Step 3: Cross multiply
    96.53x = 133.16 × 65.41
  4. Step 4: Simplify right side
    96.53x = 8,709.34
  5. Step 5: Solve for x
    x = 8,709.34/96.53
  6. Step 6: Final answer
    x = 90.23

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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.