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Finding the Fourth Proportional to 96.12, 132.51 and 65.02

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Solution

The fourth proportional to 96.12, 132.51 and 65.02 is: 89.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.12 : 132.51 = 65.02 : x
  2. Step 2: Convert to fraction form
    96.12/132.51 = 65.02/x
  3. Step 3: Cross multiply
    96.12x = 132.51 × 65.02
  4. Step 4: Simplify right side
    96.12x = 8,615.80
  5. Step 5: Solve for x
    x = 8,615.80/96.12
  6. Step 6: Final answer
    x = 89.64

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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.