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Finding the Fourth Proportional to 54.76, 75.58 and 35.34

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Solution

The fourth proportional to 54.76, 75.58 and 35.34 is: 48.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 75.58 = 35.34 : x
  2. Step 2: Convert to fraction form
    54.76/75.58 = 35.34/x
  3. Step 3: Cross multiply
    54.76x = 75.58 × 35.34
  4. Step 4: Simplify right side
    54.76x = 2,671.00
  5. Step 5: Solve for x
    x = 2,671.00/54.76
  6. Step 6: Final answer
    x = 48.78

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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.