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Finding the Fourth Proportional to 66.53, 99.84 and 65.09

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Solution

The fourth proportional to 66.53, 99.84 and 65.09 is: 97.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.53 : 99.84 = 65.09 : x
  2. Step 2: Convert to fraction form
    66.53/99.84 = 65.09/x
  3. Step 3: Cross multiply
    66.53x = 99.84 × 65.09
  4. Step 4: Simplify right side
    66.53x = 6,498.59
  5. Step 5: Solve for x
    x = 6,498.59/66.53
  6. Step 6: Final answer
    x = 97.68

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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.