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Finding the Fourth Proportional to 96.16, 132.64 and 63.45

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Solution

The fourth proportional to 96.16, 132.64 and 63.45 is: 87.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.16 : 132.64 = 63.45 : x
  2. Step 2: Convert to fraction form
    96.16/132.64 = 63.45/x
  3. Step 3: Cross multiply
    96.16x = 132.64 × 63.45
  4. Step 4: Simplify right side
    96.16x = 8,416.01
  5. Step 5: Solve for x
    x = 8,416.01/96.16
  6. Step 6: Final answer
    x = 87.52

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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.