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Finding the Fourth Proportional to 40.94, 61.48 and 32.04

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Solution

The fourth proportional to 40.94, 61.48 and 32.04 is: 48.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.94 : 61.48 = 32.04 : x
  2. Step 2: Convert to fraction form
    40.94/61.48 = 32.04/x
  3. Step 3: Cross multiply
    40.94x = 61.48 × 32.04
  4. Step 4: Simplify right side
    40.94x = 1,969.82
  5. Step 5: Solve for x
    x = 1,969.82/40.94
  6. Step 6: Final answer
    x = 48.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.