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Finding the Fourth Proportional to 40.52, 60.78 and 37.78

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Solution

The fourth proportional to 40.52, 60.78 and 37.78 is: 56.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.52 : 60.78 = 37.78 : x
  2. Step 2: Convert to fraction form
    40.52/60.78 = 37.78/x
  3. Step 3: Cross multiply
    40.52x = 60.78 × 37.78
  4. Step 4: Simplify right side
    40.52x = 2,296.28
  5. Step 5: Solve for x
    x = 2,296.28/40.52
  6. Step 6: Final answer
    x = 56.67

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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.