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Finding the Fourth Proportional to 69.16, 103.19 and 64.54

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Solution

The fourth proportional to 69.16, 103.19 and 64.54 is: 96.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.16 : 103.19 = 64.54 : x
  2. Step 2: Convert to fraction form
    69.16/103.19 = 64.54/x
  3. Step 3: Cross multiply
    69.16x = 103.19 × 64.54
  4. Step 4: Simplify right side
    69.16x = 6,659.88
  5. Step 5: Solve for x
    x = 6,659.88/69.16
  6. Step 6: Final answer
    x = 96.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.