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Finding the Fourth Proportional to 54.96, 75.84 and 31.65

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Solution

The fourth proportional to 54.96, 75.84 and 31.65 is: 43.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.96 : 75.84 = 31.65 : x
  2. Step 2: Convert to fraction form
    54.96/75.84 = 31.65/x
  3. Step 3: Cross multiply
    54.96x = 75.84 × 31.65
  4. Step 4: Simplify right side
    54.96x = 2,400.34
  5. Step 5: Solve for x
    x = 2,400.34/54.96
  6. Step 6: Final answer
    x = 43.67

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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.