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Finding the Fourth Proportional to 27.10, 40.56 and 23.02

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Solution

The fourth proportional to 27.10, 40.56 and 23.02 is: 34.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.10 : 40.56 = 23.02 : x
  2. Step 2: Convert to fraction form
    27.10/40.56 = 23.02/x
  3. Step 3: Cross multiply
    27.10x = 40.56 × 23.02
  4. Step 4: Simplify right side
    27.10x = 933.69
  5. Step 5: Solve for x
    x = 933.69/27.10
  6. Step 6: Final answer
    x = 34.45

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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.