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Finding the Fourth Proportional to 66.98, 100.54 and 52.55

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Solution

The fourth proportional to 66.98, 100.54 and 52.55 is: 78.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.98 : 100.54 = 52.55 : x
  2. Step 2: Convert to fraction form
    66.98/100.54 = 52.55/x
  3. Step 3: Cross multiply
    66.98x = 100.54 × 52.55
  4. Step 4: Simplify right side
    66.98x = 5,283.32
  5. Step 5: Solve for x
    x = 5,283.32/66.98
  6. Step 6: Final answer
    x = 78.88

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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.