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Finding the Fourth Proportional to 53.95, 74.15 and 47.78

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Solution

The fourth proportional to 53.95, 74.15 and 47.78 is: 65.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.95 : 74.15 = 47.78 : x
  2. Step 2: Convert to fraction form
    53.95/74.15 = 47.78/x
  3. Step 3: Cross multiply
    53.95x = 74.15 × 47.78
  4. Step 4: Simplify right side
    53.95x = 3,542.89
  5. Step 5: Solve for x
    x = 3,542.89/53.95
  6. Step 6: Final answer
    x = 65.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.