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Finding the Fourth Proportional to 54.69, 75.47 and 32.87

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Solution

The fourth proportional to 54.69, 75.47 and 32.87 is: 45.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.69 : 75.47 = 32.87 : x
  2. Step 2: Convert to fraction form
    54.69/75.47 = 32.87/x
  3. Step 3: Cross multiply
    54.69x = 75.47 × 32.87
  4. Step 4: Simplify right side
    54.69x = 2,480.16
  5. Step 5: Solve for x
    x = 2,480.16/54.69
  6. Step 6: Final answer
    x = 45.35

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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.