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Finding the Fourth Proportional to 26.14, 35.98 and 23.40

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Solution

The fourth proportional to 26.14, 35.98 and 23.40 is: 32.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.14 : 35.98 = 23.40 : x
  2. Step 2: Convert to fraction form
    26.14/35.98 = 23.40/x
  3. Step 3: Cross multiply
    26.14x = 35.98 × 23.40
  4. Step 4: Simplify right side
    26.14x = 841.93
  5. Step 5: Solve for x
    x = 841.93/26.14
  6. Step 6: Final answer
    x = 32.21

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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.