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Finding the Fourth Proportional to 62.70, 83.02 and 62.70

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Solution

The fourth proportional to 62.70, 83.02 and 62.70 is: 83.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.70 : 83.02 = 62.70 : x
  2. Step 2: Convert to fraction form
    62.70/83.02 = 62.70/x
  3. Step 3: Cross multiply
    62.70x = 83.02 × 62.70
  4. Step 4: Simplify right side
    62.70x = 5,205.35
  5. Step 5: Solve for x
    x = 5,205.35/62.70
  6. Step 6: Final answer
    x = 83.02

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.