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Finding the Fourth Proportional to 66.96, 99.64 and 64.96

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Solution

The fourth proportional to 66.96, 99.64 and 64.96 is: 96.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.96 : 99.64 = 64.96 : x
  2. Step 2: Convert to fraction form
    66.96/99.64 = 64.96/x
  3. Step 3: Cross multiply
    66.96x = 99.64 × 64.96
  4. Step 4: Simplify right side
    66.96x = 6,472.61
  5. Step 5: Solve for x
    x = 6,472.61/66.96
  6. Step 6: Final answer
    x = 96.66

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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.