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Finding the Fourth Proportional to 66.53, 91.83 and 38.92

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Solution

The fourth proportional to 66.53, 91.83 and 38.92 is: 53.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.53 : 91.83 = 38.92 : x
  2. Step 2: Convert to fraction form
    66.53/91.83 = 38.92/x
  3. Step 3: Cross multiply
    66.53x = 91.83 × 38.92
  4. Step 4: Simplify right side
    66.53x = 3,574.02
  5. Step 5: Solve for x
    x = 3,574.02/66.53
  6. Step 6: Final answer
    x = 53.72

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Why These Related Problems?

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