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Finding the Fourth Proportional to 66.54, 91.83 and 40.33

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Solution

The fourth proportional to 66.54, 91.83 and 40.33 is: 55.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.54 : 91.83 = 40.33 : x
  2. Step 2: Convert to fraction form
    66.54/91.83 = 40.33/x
  3. Step 3: Cross multiply
    66.54x = 91.83 × 40.33
  4. Step 4: Simplify right side
    66.54x = 3,703.50
  5. Step 5: Solve for x
    x = 3,703.50/66.54
  6. Step 6: Final answer
    x = 55.66

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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.