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Finding the Fourth Proportional to 61.70, 92.44 and 61.49

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Solution

The fourth proportional to 61.70, 92.44 and 61.49 is: 92.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.70 : 92.44 = 61.49 : x
  2. Step 2: Convert to fraction form
    61.70/92.44 = 61.49/x
  3. Step 3: Cross multiply
    61.70x = 92.44 × 61.49
  4. Step 4: Simplify right side
    61.70x = 5,684.44
  5. Step 5: Solve for x
    x = 5,684.44/61.70
  6. Step 6: Final answer
    x = 92.14

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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.