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Finding the Fourth Proportional to 40.04, 59.78 and 33.14

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Solution

The fourth proportional to 40.04, 59.78 and 33.14 is: 49.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.04 : 59.78 = 33.14 : x
  2. Step 2: Convert to fraction form
    40.04/59.78 = 33.14/x
  3. Step 3: Cross multiply
    40.04x = 59.78 × 33.14
  4. Step 4: Simplify right side
    40.04x = 1,981.11
  5. Step 5: Solve for x
    x = 1,981.11/40.04
  6. Step 6: Final answer
    x = 49.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.