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Finding the Fourth Proportional to 66.82, 99.65 and 64.90

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Solution

The fourth proportional to 66.82, 99.65 and 64.90 is: 96.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.82 : 99.65 = 64.90 : x
  2. Step 2: Convert to fraction form
    66.82/99.65 = 64.90/x
  3. Step 3: Cross multiply
    66.82x = 99.65 × 64.90
  4. Step 4: Simplify right side
    66.82x = 6,467.29
  5. Step 5: Solve for x
    x = 6,467.29/66.82
  6. Step 6: Final answer
    x = 96.79

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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.