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Finding the Fourth Proportional to 123.97, 185.88 and 46.89

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Solution

The fourth proportional to 123.97, 185.88 and 46.89 is: 70.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.97 : 185.88 = 46.89 : x
  2. Step 2: Convert to fraction form
    123.97/185.88 = 46.89/x
  3. Step 3: Cross multiply
    123.97x = 185.88 × 46.89
  4. Step 4: Simplify right side
    123.97x = 8,715.91
  5. Step 5: Solve for x
    x = 8,715.91/123.97
  6. Step 6: Final answer
    x = 70.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.