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Finding the Fourth Proportional to 61.84, 92.97 and 49.89

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Solution

The fourth proportional to 61.84, 92.97 and 49.89 is: 75.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.84 : 92.97 = 49.89 : x
  2. Step 2: Convert to fraction form
    61.84/92.97 = 49.89/x
  3. Step 3: Cross multiply
    61.84x = 92.97 × 49.89
  4. Step 4: Simplify right side
    61.84x = 4,638.27
  5. Step 5: Solve for x
    x = 4,638.27/61.84
  6. Step 6: Final answer
    x = 75.00

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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.