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Finding the Fourth Proportional to 65.42, 97.78 and 54.03

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Solution

The fourth proportional to 65.42, 97.78 and 54.03 is: 80.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.42 : 97.78 = 54.03 : x
  2. Step 2: Convert to fraction form
    65.42/97.78 = 54.03/x
  3. Step 3: Cross multiply
    65.42x = 97.78 × 54.03
  4. Step 4: Simplify right side
    65.42x = 5,283.05
  5. Step 5: Solve for x
    x = 5,283.05/65.42
  6. Step 6: Final answer
    x = 80.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.