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Finding the Fourth Proportional to 27.40, 37.84 and 24.68

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Solution

The fourth proportional to 27.40, 37.84 and 24.68 is: 34.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.40 : 37.84 = 24.68 : x
  2. Step 2: Convert to fraction form
    27.40/37.84 = 24.68/x
  3. Step 3: Cross multiply
    27.40x = 37.84 × 24.68
  4. Step 4: Simplify right side
    27.40x = 933.89
  5. Step 5: Solve for x
    x = 933.89/27.40
  6. Step 6: Final answer
    x = 34.08

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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.