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Finding the Fourth Proportional to 66.77, 92.24 and 53.06

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Solution

The fourth proportional to 66.77, 92.24 and 53.06 is: 73.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.77 : 92.24 = 53.06 : x
  2. Step 2: Convert to fraction form
    66.77/92.24 = 53.06/x
  3. Step 3: Cross multiply
    66.77x = 92.24 × 53.06
  4. Step 4: Simplify right side
    66.77x = 4,893.53
  5. Step 5: Solve for x
    x = 4,893.53/66.77
  6. Step 6: Final answer
    x = 73.29

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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.