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Finding the Fourth Proportional to 22.70, 32.06 and 22.70

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Solution

The fourth proportional to 22.70, 32.06 and 22.70 is: 32.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.70 : 32.06 = 22.70 : x
  2. Step 2: Convert to fraction form
    22.70/32.06 = 22.70/x
  3. Step 3: Cross multiply
    22.70x = 32.06 × 22.70
  4. Step 4: Simplify right side
    22.70x = 727.76
  5. Step 5: Solve for x
    x = 727.76/22.70
  6. Step 6: Final answer
    x = 32.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.