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Finding the Fourth Proportional to 54.42, 75.10 and 34.76

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Solution

The fourth proportional to 54.42, 75.10 and 34.76 is: 47.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.42 : 75.10 = 34.76 : x
  2. Step 2: Convert to fraction form
    54.42/75.10 = 34.76/x
  3. Step 3: Cross multiply
    54.42x = 75.10 × 34.76
  4. Step 4: Simplify right side
    54.42x = 2,610.48
  5. Step 5: Solve for x
    x = 2,610.48/54.42
  6. Step 6: Final answer
    x = 47.97

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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.