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Finding the Fourth Proportional to 66.05, 99.02 and 29.95

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Solution

The fourth proportional to 66.05, 99.02 and 29.95 is: 44.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.05 : 99.02 = 29.95 : x
  2. Step 2: Convert to fraction form
    66.05/99.02 = 29.95/x
  3. Step 3: Cross multiply
    66.05x = 99.02 × 29.95
  4. Step 4: Simplify right side
    66.05x = 2,966.03
  5. Step 5: Solve for x
    x = 2,966.03/66.05
  6. Step 6: Final answer
    x = 44.91

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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.