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Finding the Fourth Proportional to 60.68, 90.83 and 37.78

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Solution

The fourth proportional to 60.68, 90.83 and 37.78 is: 56.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.68 : 90.83 = 37.78 : x
  2. Step 2: Convert to fraction form
    60.68/90.83 = 37.78/x
  3. Step 3: Cross multiply
    60.68x = 90.83 × 37.78
  4. Step 4: Simplify right side
    60.68x = 3,431.42
  5. Step 5: Solve for x
    x = 3,431.42/60.68
  6. Step 6: Final answer
    x = 56.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.