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Finding the Fourth Proportional to 82.98, 114.42 and 53.82

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Solution

The fourth proportional to 82.98, 114.42 and 53.82 is: 74.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.98 : 114.42 = 53.82 : x
  2. Step 2: Convert to fraction form
    82.98/114.42 = 53.82/x
  3. Step 3: Cross multiply
    82.98x = 114.42 × 53.82
  4. Step 4: Simplify right side
    82.98x = 6,158.08
  5. Step 5: Solve for x
    x = 6,158.08/82.98
  6. Step 6: Final answer
    x = 74.21

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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.