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Finding the Fourth Proportional to 40.78, 61.04 and 32.18

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Solution

The fourth proportional to 40.78, 61.04 and 32.18 is: 48.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.78 : 61.04 = 32.18 : x
  2. Step 2: Convert to fraction form
    40.78/61.04 = 32.18/x
  3. Step 3: Cross multiply
    40.78x = 61.04 × 32.18
  4. Step 4: Simplify right side
    40.78x = 1,964.27
  5. Step 5: Solve for x
    x = 1,964.27/40.78
  6. Step 6: Final answer
    x = 48.17

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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.