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Finding the Fourth Proportional to 27.02, 40.55 and 19.34

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Solution

The fourth proportional to 27.02, 40.55 and 19.34 is: 29.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.02 : 40.55 = 19.34 : x
  2. Step 2: Convert to fraction form
    27.02/40.55 = 19.34/x
  3. Step 3: Cross multiply
    27.02x = 40.55 × 19.34
  4. Step 4: Simplify right side
    27.02x = 784.24
  5. Step 5: Solve for x
    x = 784.24/27.02
  6. Step 6: Final answer
    x = 29.02

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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.