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Finding the Fourth Proportional to 46.25, 68.82 and 46.10

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Solution

The fourth proportional to 46.25, 68.82 and 46.10 is: 68.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.25 : 68.82 = 46.10 : x
  2. Step 2: Convert to fraction form
    46.25/68.82 = 46.10/x
  3. Step 3: Cross multiply
    46.25x = 68.82 × 46.10
  4. Step 4: Simplify right side
    46.25x = 3,172.60
  5. Step 5: Solve for x
    x = 3,172.60/46.25
  6. Step 6: Final answer
    x = 68.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.