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Finding the Fourth Proportional to 60.78, 83.84 and 37.46

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Solution

The fourth proportional to 60.78, 83.84 and 37.46 is: 51.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.78 : 83.84 = 37.46 : x
  2. Step 2: Convert to fraction form
    60.78/83.84 = 37.46/x
  3. Step 3: Cross multiply
    60.78x = 83.84 × 37.46
  4. Step 4: Simplify right side
    60.78x = 3,140.67
  5. Step 5: Solve for x
    x = 3,140.67/60.78
  6. Step 6: Final answer
    x = 51.67

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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.