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Finding the Fourth Proportional to 46.80, 61.80 and 46.80

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Solution

The fourth proportional to 46.80, 61.80 and 46.80 is: 61.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.80 : 61.80 = 46.80 : x
  2. Step 2: Convert to fraction form
    46.80/61.80 = 46.80/x
  3. Step 3: Cross multiply
    46.80x = 61.80 × 46.80
  4. Step 4: Simplify right side
    46.80x = 2,892.24
  5. Step 5: Solve for x
    x = 2,892.24/46.80
  6. Step 6: Final answer
    x = 61.80

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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.