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Finding the Fourth Proportional to 66.05, 99.12 and 35.60

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Solution

The fourth proportional to 66.05, 99.12 and 35.60 is: 53.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.05 : 99.12 = 35.60 : x
  2. Step 2: Convert to fraction form
    66.05/99.12 = 35.60/x
  3. Step 3: Cross multiply
    66.05x = 99.12 × 35.60
  4. Step 4: Simplify right side
    66.05x = 3,528.18
  5. Step 5: Solve for x
    x = 3,528.18/66.05
  6. Step 6: Final answer
    x = 53.42

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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.