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Finding the Fourth Proportional to 46.80, 64.23 and 46.80

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Solution

The fourth proportional to 46.80, 64.23 and 46.80 is: 64.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.80 : 64.23 = 46.80 : x
  2. Step 2: Convert to fraction form
    46.80/64.23 = 46.80/x
  3. Step 3: Cross multiply
    46.80x = 64.23 × 46.80
  4. Step 4: Simplify right side
    46.80x = 3,005.96
  5. Step 5: Solve for x
    x = 3,005.96/46.80
  6. Step 6: Final answer
    x = 64.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.