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Finding the Fourth Proportional to 22.60, 32.14 and 22.60

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Solution

The fourth proportional to 22.60, 32.14 and 22.60 is: 32.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.60 : 32.14 = 22.60 : x
  2. Step 2: Convert to fraction form
    22.60/32.14 = 22.60/x
  3. Step 3: Cross multiply
    22.60x = 32.14 × 22.60
  4. Step 4: Simplify right side
    22.60x = 726.36
  5. Step 5: Solve for x
    x = 726.36/22.60
  6. Step 6: Final answer
    x = 32.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.