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Finding the Fourth Proportional to 82.64, 114.02 and 53.54

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Solution

The fourth proportional to 82.64, 114.02 and 53.54 is: 73.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.64 : 114.02 = 53.54 : x
  2. Step 2: Convert to fraction form
    82.64/114.02 = 53.54/x
  3. Step 3: Cross multiply
    82.64x = 114.02 × 53.54
  4. Step 4: Simplify right side
    82.64x = 6,104.42
  5. Step 5: Solve for x
    x = 6,104.42/82.64
  6. Step 6: Final answer
    x = 73.87

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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.