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Finding the Fourth Proportional to 70.20, 96.78 and 53.76

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Solution

The fourth proportional to 70.20, 96.78 and 53.76 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.20 : 96.78 = 53.76 : x
  2. Step 2: Convert to fraction form
    70.20/96.78 = 53.76/x
  3. Step 3: Cross multiply
    70.20x = 96.78 × 53.76
  4. Step 4: Simplify right side
    70.20x = 5,202.89
  5. Step 5: Solve for x
    x = 5,202.89/70.20
  6. Step 6: Final answer
    x = 74.12

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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.