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Finding the Fourth Proportional to 48.70, 68.30 and 48.70

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Solution

The fourth proportional to 48.70, 68.30 and 48.70 is: 68.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.70 : 68.30 = 48.70 : x
  2. Step 2: Convert to fraction form
    48.70/68.30 = 48.70/x
  3. Step 3: Cross multiply
    48.70x = 68.30 × 48.70
  4. Step 4: Simplify right side
    48.70x = 3,326.21
  5. Step 5: Solve for x
    x = 3,326.21/48.70
  6. Step 6: Final answer
    x = 68.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.