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Finding the Fourth Proportional to 60.88, 84.00 and 37.57

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Solution

The fourth proportional to 60.88, 84.00 and 37.57 is: 51.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.88 : 84.00 = 37.57 : x
  2. Step 2: Convert to fraction form
    60.88/84.00 = 37.57/x
  3. Step 3: Cross multiply
    60.88x = 84.00 × 37.57
  4. Step 4: Simplify right side
    60.88x = 3,155.97
  5. Step 5: Solve for x
    x = 3,155.97/60.88
  6. Step 6: Final answer
    x = 51.84

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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.