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Finding the Fourth Proportional to 26.20, 36.17 and 23.47

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Solution

The fourth proportional to 26.20, 36.17 and 23.47 is: 32.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.20 : 36.17 = 23.47 : x
  2. Step 2: Convert to fraction form
    26.20/36.17 = 23.47/x
  3. Step 3: Cross multiply
    26.20x = 36.17 × 23.47
  4. Step 4: Simplify right side
    26.20x = 848.91
  5. Step 5: Solve for x
    x = 848.91/26.20
  6. Step 6: Final answer
    x = 32.40

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1.5x scale

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.