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Finding the Fourth Proportional to 66.74, 100.10 and 36.50

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Solution

The fourth proportional to 66.74, 100.10 and 36.50 is: 54.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.74 : 100.10 = 36.50 : x
  2. Step 2: Convert to fraction form
    66.74/100.10 = 36.50/x
  3. Step 3: Cross multiply
    66.74x = 100.10 × 36.50
  4. Step 4: Simplify right side
    66.74x = 3,653.24
  5. Step 5: Solve for x
    x = 3,653.24/66.74
  6. Step 6: Final answer
    x = 54.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.