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Finding the Fourth Proportional to 61.57, 84.94 and 46.05

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Solution

The fourth proportional to 61.57, 84.94 and 46.05 is: 63.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.57 : 84.94 = 46.05 : x
  2. Step 2: Convert to fraction form
    61.57/84.94 = 46.05/x
  3. Step 3: Cross multiply
    61.57x = 84.94 × 46.05
  4. Step 4: Simplify right side
    61.57x = 3,911.49
  5. Step 5: Solve for x
    x = 3,911.49/61.57
  6. Step 6: Final answer
    x = 63.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.