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Finding the Fourth Proportional to 66.68, 100.10 and 34.64

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Solution

The fourth proportional to 66.68, 100.10 and 34.64 is: 52.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.68 : 100.10 = 34.64 : x
  2. Step 2: Convert to fraction form
    66.68/100.10 = 34.64/x
  3. Step 3: Cross multiply
    66.68x = 100.10 × 34.64
  4. Step 4: Simplify right side
    66.68x = 3,467.46
  5. Step 5: Solve for x
    x = 3,467.46/66.68
  6. Step 6: Final answer
    x = 52.00

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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.