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Finding the Fourth Proportional to 61.79, 85.26 and 34.16

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Solution

The fourth proportional to 61.79, 85.26 and 34.16 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.79 : 85.26 = 34.16 : x
  2. Step 2: Convert to fraction form
    61.79/85.26 = 34.16/x
  3. Step 3: Cross multiply
    61.79x = 85.26 × 34.16
  4. Step 4: Simplify right side
    61.79x = 2,912.40
  5. Step 5: Solve for x
    x = 2,912.40/61.79
  6. Step 6: Final answer
    x = 47.13

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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.