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Finding the Fourth Proportional to 26.46, 36.45 and 24.78

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Solution

The fourth proportional to 26.46, 36.45 and 24.78 is: 34.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.46 : 36.45 = 24.78 : x
  2. Step 2: Convert to fraction form
    26.46/36.45 = 24.78/x
  3. Step 3: Cross multiply
    26.46x = 36.45 × 24.78
  4. Step 4: Simplify right side
    26.46x = 903.23
  5. Step 5: Solve for x
    x = 903.23/26.46
  6. Step 6: Final answer
    x = 34.14

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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.