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Finding the Fourth Proportional to 26.57, 39.86 and 14.40

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Solution

The fourth proportional to 26.57, 39.86 and 14.40 is: 21.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.57 : 39.86 = 14.40 : x
  2. Step 2: Convert to fraction form
    26.57/39.86 = 14.40/x
  3. Step 3: Cross multiply
    26.57x = 39.86 × 14.40
  4. Step 4: Simplify right side
    26.57x = 573.91
  5. Step 5: Solve for x
    x = 573.91/26.57
  6. Step 6: Final answer
    x = 21.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.