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Finding the Fourth Proportional to 66.79, 92.22 and 53.05

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Solution

The fourth proportional to 66.79, 92.22 and 53.05 is: 73.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.79 : 92.22 = 53.05 : x
  2. Step 2: Convert to fraction form
    66.79/92.22 = 53.05/x
  3. Step 3: Cross multiply
    66.79x = 92.22 × 53.05
  4. Step 4: Simplify right side
    66.79x = 4,891.81
  5. Step 5: Solve for x
    x = 4,891.81/66.79
  6. Step 6: Final answer
    x = 73.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.