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Finding the Fourth Proportional to 56.70, 82.17 and 56.70

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Solution

The fourth proportional to 56.70, 82.17 and 56.70 is: 82.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.70 : 82.17 = 56.70 : x
  2. Step 2: Convert to fraction form
    56.70/82.17 = 56.70/x
  3. Step 3: Cross multiply
    56.70x = 82.17 × 56.70
  4. Step 4: Simplify right side
    56.70x = 4,659.04
  5. Step 5: Solve for x
    x = 4,659.04/56.70
  6. Step 6: Final answer
    x = 82.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.