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Finding the Fourth Proportional to 60.44, 83.40 and 34.57

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Solution

The fourth proportional to 60.44, 83.40 and 34.57 is: 47.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.44 : 83.40 = 34.57 : x
  2. Step 2: Convert to fraction form
    60.44/83.40 = 34.57/x
  3. Step 3: Cross multiply
    60.44x = 83.40 × 34.57
  4. Step 4: Simplify right side
    60.44x = 2,883.14
  5. Step 5: Solve for x
    x = 2,883.14/60.44
  6. Step 6: Final answer
    x = 47.70

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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.