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Finding the Fourth Proportional to 40.14, 59.90 and 34.74

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Solution

The fourth proportional to 40.14, 59.90 and 34.74 is: 51.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.14 : 59.90 = 34.74 : x
  2. Step 2: Convert to fraction form
    40.14/59.90 = 34.74/x
  3. Step 3: Cross multiply
    40.14x = 59.90 × 34.74
  4. Step 4: Simplify right side
    40.14x = 2,080.93
  5. Step 5: Solve for x
    x = 2,080.93/40.14
  6. Step 6: Final answer
    x = 51.84

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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.