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Finding the Fourth Proportional to 96.56, 144.52 and 64.08

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Solution

The fourth proportional to 96.56, 144.52 and 64.08 is: 95.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.56 : 144.52 = 64.08 : x
  2. Step 2: Convert to fraction form
    96.56/144.52 = 64.08/x
  3. Step 3: Cross multiply
    96.56x = 144.52 × 64.08
  4. Step 4: Simplify right side
    96.56x = 9,260.84
  5. Step 5: Solve for x
    x = 9,260.84/96.56
  6. Step 6: Final answer
    x = 95.91

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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.