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Finding the Fourth Proportional to 66.46, 91.75 and 38.84

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Solution

The fourth proportional to 66.46, 91.75 and 38.84 is: 53.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.46 : 91.75 = 38.84 : x
  2. Step 2: Convert to fraction form
    66.46/91.75 = 38.84/x
  3. Step 3: Cross multiply
    66.46x = 91.75 × 38.84
  4. Step 4: Simplify right side
    66.46x = 3,563.81
  5. Step 5: Solve for x
    x = 3,563.81/66.46
  6. Step 6: Final answer
    x = 53.62

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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.