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Finding the Fourth Proportional to 27.30, 40.76 and 23.24

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Solution

The fourth proportional to 27.30, 40.76 and 23.24 is: 34.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.30 : 40.76 = 23.24 : x
  2. Step 2: Convert to fraction form
    27.30/40.76 = 23.24/x
  3. Step 3: Cross multiply
    27.30x = 40.76 × 23.24
  4. Step 4: Simplify right side
    27.30x = 947.26
  5. Step 5: Solve for x
    x = 947.26/27.30
  6. Step 6: Final answer
    x = 34.70

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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.