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Finding the Fourth Proportional to 66.35, 99.20 and 45.99

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Solution

The fourth proportional to 66.35, 99.20 and 45.99 is: 68.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.35 : 99.20 = 45.99 : x
  2. Step 2: Convert to fraction form
    66.35/99.20 = 45.99/x
  3. Step 3: Cross multiply
    66.35x = 99.20 × 45.99
  4. Step 4: Simplify right side
    66.35x = 4,562.32
  5. Step 5: Solve for x
    x = 4,562.32/66.35
  6. Step 6: Final answer
    x = 68.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.