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Finding the Fourth Proportional to 66.97, 92.32 and 47.53

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Solution

The fourth proportional to 66.97, 92.32 and 47.53 is: 65.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.97 : 92.32 = 47.53 : x
  2. Step 2: Convert to fraction form
    66.97/92.32 = 47.53/x
  3. Step 3: Cross multiply
    66.97x = 92.32 × 47.53
  4. Step 4: Simplify right side
    66.97x = 4,388.23
  5. Step 5: Solve for x
    x = 4,388.23/66.97
  6. Step 6: Final answer
    x = 65.52

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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.