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Finding the Fourth Proportional to 82.64, 114 and 56.42

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Solution

The fourth proportional to 82.64, 114 and 56.42 is: 77.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.64 : 114 = 56.42 : x
  2. Step 2: Convert to fraction form
    82.64/114 = 56.42/x
  3. Step 3: Cross multiply
    82.64x = 114 × 56.42
  4. Step 4: Simplify right side
    82.64x = 6,431.31
  5. Step 5: Solve for x
    x = 6,431.31/82.64
  6. Step 6: Final answer
    x = 77.83

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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.