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Finding the Fourth Proportional to 66.80, 92.16 and 49.52

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Solution

The fourth proportional to 66.80, 92.16 and 49.52 is: 68.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.80 : 92.16 = 49.52 : x
  2. Step 2: Convert to fraction form
    66.80/92.16 = 49.52/x
  3. Step 3: Cross multiply
    66.80x = 92.16 × 49.52
  4. Step 4: Simplify right side
    66.80x = 4,563.76
  5. Step 5: Solve for x
    x = 4,563.76/66.80
  6. Step 6: Final answer
    x = 68.32

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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.