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Finding the Fourth Proportional to 66.76, 100.08 and 53.26

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Solution

The fourth proportional to 66.76, 100.08 and 53.26 is: 79.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.76 : 100.08 = 53.26 : x
  2. Step 2: Convert to fraction form
    66.76/100.08 = 53.26/x
  3. Step 3: Cross multiply
    66.76x = 100.08 × 53.26
  4. Step 4: Simplify right side
    66.76x = 5,330.26
  5. Step 5: Solve for x
    x = 5,330.26/66.76
  6. Step 6: Final answer
    x = 79.84

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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.