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Finding the Fourth Proportional to 66.12, 98.43 and 65.76

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Solution

The fourth proportional to 66.12, 98.43 and 65.76 is: 97.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.12 : 98.43 = 65.76 : x
  2. Step 2: Convert to fraction form
    66.12/98.43 = 65.76/x
  3. Step 3: Cross multiply
    66.12x = 98.43 × 65.76
  4. Step 4: Simplify right side
    66.12x = 6,472.76
  5. Step 5: Solve for x
    x = 6,472.76/66.12
  6. Step 6: Final answer
    x = 97.89

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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.