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Finding the Fourth Proportional to 60.25, 89.75 and 57.34

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Solution

The fourth proportional to 60.25, 89.75 and 57.34 is: 85.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.25 : 89.75 = 57.34 : x
  2. Step 2: Convert to fraction form
    60.25/89.75 = 57.34/x
  3. Step 3: Cross multiply
    60.25x = 89.75 × 57.34
  4. Step 4: Simplify right side
    60.25x = 5,146.49
  5. Step 5: Solve for x
    x = 5,146.49/60.25
  6. Step 6: Final answer
    x = 85.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.