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Finding the Fourth Proportional to 66.00, 91.06 and 38.37

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Solution

The fourth proportional to 66.00, 91.06 and 38.37 is: 52.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.00 : 91.06 = 38.37 : x
  2. Step 2: Convert to fraction form
    66.00/91.06 = 38.37/x
  3. Step 3: Cross multiply
    66.00x = 91.06 × 38.37
  4. Step 4: Simplify right side
    66.00x = 3,493.53
  5. Step 5: Solve for x
    x = 3,493.53/66.00
  6. Step 6: Final answer
    x = 52.94

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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.