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Finding the Fourth Proportional to 26.14, 35.85 and 23.70

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Solution

The fourth proportional to 26.14, 35.85 and 23.70 is: 32.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.14 : 35.85 = 23.70 : x
  2. Step 2: Convert to fraction form
    26.14/35.85 = 23.70/x
  3. Step 3: Cross multiply
    26.14x = 35.85 × 23.70
  4. Step 4: Simplify right side
    26.14x = 849.53
  5. Step 5: Solve for x
    x = 849.53/26.14
  6. Step 6: Final answer
    x = 32.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.