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Finding the Fourth Proportional to 82.67, 114.02 and 56.46

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Solution

The fourth proportional to 82.67, 114.02 and 56.46 is: 77.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.67 : 114.02 = 56.46 : x
  2. Step 2: Convert to fraction form
    82.67/114.02 = 56.46/x
  3. Step 3: Cross multiply
    82.67x = 114.02 × 56.46
  4. Step 4: Simplify right side
    82.67x = 6,437.71
  5. Step 5: Solve for x
    x = 6,437.71/82.67
  6. Step 6: Final answer
    x = 77.87

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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.