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Finding the Fourth Proportional to 66.80, 99.82 and 56.54

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Solution

The fourth proportional to 66.80, 99.82 and 56.54 is: 84.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.80 : 99.82 = 56.54 : x
  2. Step 2: Convert to fraction form
    66.80/99.82 = 56.54/x
  3. Step 3: Cross multiply
    66.80x = 99.82 × 56.54
  4. Step 4: Simplify right side
    66.80x = 5,643.82
  5. Step 5: Solve for x
    x = 5,643.82/66.80
  6. Step 6: Final answer
    x = 84.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.