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Finding the Fourth Proportional to 40.34, 55.56 and 34.20

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Solution

The fourth proportional to 40.34, 55.56 and 34.20 is: 47.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.34 : 55.56 = 34.20 : x
  2. Step 2: Convert to fraction form
    40.34/55.56 = 34.20/x
  3. Step 3: Cross multiply
    40.34x = 55.56 × 34.20
  4. Step 4: Simplify right side
    40.34x = 1,900.15
  5. Step 5: Solve for x
    x = 1,900.15/40.34
  6. Step 6: Final answer
    x = 47.10

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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.